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Drawing Objects and Shapes Jen is a computer repair technician in Dawson City. She often needs to look at repair manuals when fixing computers. This diagram of a laptop shows what the parts of a computer look like. A. Why is a diagram like this useful? B. What are some other situations where diagrams of objects are useful? NEL Chapter 7 Drawing Objects and Shapes 175

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  • Drawing Objects and Shapes

    Jen is a computer repair technician in Dawson City. She often needs to look at repair manuals when fixing computers. This diagram of a laptop shows what the parts of a computer look like.

    A. Why is a diagram like this useful?

    B. What are some other situations where diagrams of objects are useful?

    NEL Chapter 7 Drawing Objects and Shapes 175

    crassentidisclaimer

  • 1. Draw a net for each object. a)

    ¡You will need • a ruler b)

    7 Getting ,ia@uQ® J

    2. Write each fraction or ratio as a percent.

    a) 2 b) 5

    c) 1:5

    3. Write each percent as a ratio in lowest terms. a) 60% b) 300%

    4. a) Jean says two polygons are similar. What does this mean?

    b) How are the angles and sides of two similar polygons related?

    c) Draw two similar polygons.

    176 Apprenticeship and Workplace 11 NEL

  • 5. DABC is similar to ODEF.

    a) What scale factor relates the large triangle to the small triangle?

    b) What scale factor relates the small triangle to the large triangle?

    6. What is each unknown measure in Question 5?

    a) d= 13 cm x

    cm

    b) b= 30cmx

    Chapter 7 Drawing Objects and Shapes 177 NEL

    scale factor

    the number that the dimensions of a polygon are multiplied by to calculate the corresponding dimensions of a similar polygon

    = cm

    7. Use the scale factor of 3. Draw a similar shape on the grid.

    8. Match each description with an isometric drawing.

    L shape rectangular prism U shape

    isometric drawing

    a 3-D view of an object in which • vertical edges

    are drawn vertically

    • width and depth are drawn diagonally

    • equal lengths on the object are equal on the drawing

  • Match each object with its net. You will need • a ruler • linking cubes • isometric dot paper • plain paper

    7.1 Diagrams of Objects

    Connie is a furniture carpenter. She starts each piece of furniture with a sketch. This helps her visualize and plan its design.

    She is making a bookcase with two shelves. It will look like the bookcase on the right.

    Draw a freehand sketch of a design Connie could use.

    Q What information would Connie need to build the bookcase you drew? Add this information to your sketch.

    178 Apprenticeship and Workplace 11 NEL

  • Example Ravi is sketching this digital camera for a newspaper advertisement. Make an isometric drawing of the camera.

    Solution A. Use a pencil. Draw the front face

    of the camera so that the height is vertical and the width is diagonal.

    Hint Orient all isometric drawings like this.

    front ..right side

    B. Join the bottom right corner to a grid point to show the depth.

    C. Draw a copy of the front face so that it appears behind the front. Use the grid point from Part B as the back right corner.

    D. Join the vertex points on the front face to matching points • on the back face.

    E. Use ovals to draw the circles and cylinders to represent the zoom lens. • To draw an oval, draw a box with equal sides. Draw a

    centre point on each side. Join the centre points with a smooth curve.

    • To draw a cylinder, draw parallel lines to connect two ovals.

    F. Erase lines that would be blocked from view by a solid surface.

    How does joining matching points on the front and back faces make the sketch look

    3-D?

    • centre points

    NEL Chapter 7 Drawing Objects and Shapes 179

  • Practice

    Draw all isometric drawings on the isometric dot grid in the workbook or on sheets of isometric dot paper.

    1. For each cube structure • Build the structure. • Turn the structure so you can see the front and right side. • Use isometric dot paper. Make an isometric drawing.

    a) b)

    2. a) Build the cube structure on the right. Orient your structure as shown in the art. Make an isometric drawing of the structure.

    b) Orient the structure so that the square hole is at the front. Make an isometric drawing.

    c) Orient the structure so that the square hole is at the right side. Make an isometric drawing.

    d) Do your three drawings look like they represent the same structure? Explain.

    3. Meg says each isometric drawing shows the same cube. Dominique says each isometric drawing represents a different cube. Could Meg be right? Justify your reasoning.

    180 Apprenticeship and Workplace 11 NEL

  • 4. Build a structure with 5 to 12 linking cubes. • Make an isometric drawing of your structure. • Trade structures with a classmate. • Make an isometric drawing of your classmate's structure.

    Is it possible for someone else's isometric drawing of your structure to be different from your drawing? Explain.

    5. Make an isometric drawing of each object.

    a) a bookcase b) a book

    c) a nail

    NEL

    6. Choose an object in your classroom.

    a) Sketch the object.

    b) Make an isometric drawing of the object.

    c) Which drawing do you think is a better representation of the object? Why?

    Chapter 7 Drawing Objects and Shapes 181

  • Example 1 Sid is a design student. Sometimes he uses linking cubes to experiment with cubic building designs. A model Sid made is on the right.

    Sid made this drawing of the top view of his model.

    Draw the front and right-side views.

    7.2 Different Views of Objects

    -_ _r fj -j_.1 ~..3 ̀ ri

    You will need • a ruler • isometric dot paper • plain paper

    Label the front, right side, and top of this structure.

    orthographic drawing

    a drawing that shows the shape and size of an object using two-dimensional views

    Hint Thicker lines are used to show the parts that are closer to you in each view.

    Jamie repairs vehicles. Sometimes he needs to use orthographic drawings in reference books.

    Which diagram is the top view of the car?

    Which diagram is the front view of the car?

    Which diagram is the side view of the car?

    Which diagram is the rear view of the car? diagram C

    diagram D

    182 Apprenticeship and Workplace 11 NEL

  • Solution A. Explain how you know the view Sid drew represents

    his model. • The two squares with thick lines represent

    How would the left-side view compare with the front and

    right-side views?

    • The two squares together with thin lines represent

    • The square at the left with thin lines represents

    • The square at the bottom with thin lines represents

    B. Draw the front view and the right-side views. Label each view.

    Example 2 Wyn operates a metal stamp machine. He has blueprints that show these orthographic drawings of a metal auto part he will make. Draw an isometric diagram of the part.

    i

    top

    front

    right side

    Solution A. Draw the top of the object. Some of the lines of the top

    have been done for you.

    B. Add the front of the object to your diagram. One line of the front has been done for you.

    C. Add the right side to your diagram. Add the other lines to complete your diagram.

    NEL Chapter 7 Drawing Objects and Shapes 183

  • top front front right side top

    D. B.

    right side

    top front right side top front right side

    b)

    Practice

    1. a) Circle the group of orthographic drawings that matches the object on the left. Explain how you know the other groups do not match it.

    C.

    b) Explain how you know the views you circled match the object.

    2. Draw and label the top, front, and right-side views of each cube structure.

    a)

    Hint

    Use thicker lines to show the parts that are closer to you.

    184 Apprenticeship and Workplace 11 NEL

    A.

    front ' right side

    1

  • a)

    ~ .~ I ~.._

    a)

    3. Draw the top, front, and right-side views of each object.

    NEL

    4. For each set of orthographic drawings, make an isometric drawing of the object.

    right side top

    front

    b)

    top front right side

    5. Find an object that has different views. Draw and label each view on another piece of paper.

    • top • front • left side • right side

    Chapter 7 Drawing Objects and Shapes 185

  • 7 3 • One-Point Perspective Drawings You will need • a ruler • isometric dot paper • plain paper

    What object has these views? Draw a freehand sketch of the object.

    top

    front right side

    perspective view

    a drawing that shows some parts to look like they are farther away

    vanishing point or point of perspective

    the point where extended lines of a perspective view meet

    When we look at large objects, we usually see a perspective view. Objects look smaller when they are farther away. Create a one-point perspective drawing of a box. Questions v and Q have been done for you.

    Q Draw a horizontal line near the top of the drawing space. This is the horizon line. Label it. Draw the vanishing point in the centre of the horizon line. Label it.

    vanishing point

    horizon line

    Draw a square or rectangle in the lower left corner. This is the front face of the box.

    Join three corners of your rectangle to the vanishing point with straight lines. These lines are called orthogonals.

    To draw the back edge of the top of the box, draw a horizontal line between the orthogonals.

    Q To draw the back right edge of the box, draw a vertical line from the line you drew for Question Q between the orthogonals.

    O Erase the orthogonals that are not sides of the box.

    Hint Draw lightly with a pencil so you can erase later.

    FL, W Tt Which type of

    diagram appears more realistic: isometric or one-point

    perspective? Explain.

    186 Apprenticeship and Workplace 11 NEL

  • Example 1 Renata is designing a toy doghouse. Make a one-point perspective drawing of her doghouse.

    Solution A. Draw a horizon line close to the top. Draw a vanishing point

    toward the right end of the horizon line. izt

    B. The front is the view with the doorway. Draw the front of the doghouse below the horizon line.

    C. Draw the orthogonal lines for the sides and roof.

    D. Draw all the lines that will complete the drawing. Erase the lines you do not need.

    Example 2 Nazir is a freelance artist. She made a one-point perspective drawing of a truck for a magazine. Where is the vanishing point in her drawing?

    Solution A. Draw orthogonal lines through the truck.

    B. Mark the vanishing point. What do you notice about the orthogonal lines?

    NEL Chapter 7 Drawing Objects and Shapes 187

  • Practice

    1. Use the horizon line and vanishing point shown below. Make a one-point perspective drawing of each named object. a) rectangular prism b) cylinder c) hexagonal prism

    2. Make a one-point perspective drawing of each of these cube structures. Use the horizon line and vanishing point shown below. a) b)

    3. Leese says that the drawing of the hospital on the left is a one-point perspective drawing. Do you agree? Justify your decision.

    188 Apprenticeship and Workplace 11 NEL

  • 4. Choose an object in your classroom.

    a) Use isometric dot paper. Make an isometric drawing of the object.

    b) Use a piece of plain paper. Make a one-point perspective drawing of the object.

    c) Which drawing do you prefer? Explain why.

    5. Draw orthogonal lines for the television screen. Show the vanishing point.

    6. a) Use these views to make an isometric drawing of the object on isometric dot paper.

    II front right side

    b) Use a piece of plain paper. Make a one-point perspective drawing for your isometric drawing.

    7. Make a one-point perspective drawing of the hospital in Question 3.

    top

    NEL Chapter 7 Drawing Objects and Shapes 189

  • ` D

    7■4 Exploded View Diagrams

    Steve is a carpenter. He found these plans online for a coat rack.

    i) How many parts are there?

    ii) Name the parts.

    You will need • a ruler • isometric dot paper • plain paper

    exploded view a diagram that shows the relationship or order of assembly of component parts

    Steve's coat rack plan shown above is an exploded view.

    Draw a front view picture of each component part.

    What are some other situations where you might see exploded views?

    Example 1 Manny is an artist. He draws the exploded view of objects to go with assembly instructions. Draw an exploded view of this stool. Label the component parts.

    Solution A. Draw and label the legs, sides, and

    top of the stool.

    B. Choose a component part from your exploded-view diagram. How does it relate to the stool?

    190 Apprenticeship and Workplace 11 NEL

  • Example 2

    Ming bought a table. The box contained the parts and this exploded view. She needs to put it together. Make an isometric drawing of what the assembled table will look like.

    Solution A. Draw the front face of the

    table. It has been started for you.

    B. Draw the top.

    C. Draw the sides.

    D. Draw the lower shelf.

    E. Erase any lines that would be blocked from view.

    Example 3 Jacques is a woodworker. He builds and sells birdhouses. He drew this exploded view of his latest design. Make a one-point perspective drawing of this assembled birdhouse.

    Solution

    Rgrt' _ .

    v?tii~G How are

    exploded-view diagrams useful?

    A. Draw the front of the house below the horizon line. Draw the vanishing point.

    B. Draw the orthogonal lines.

    C. Add the lines for the back edges of the roof and side.

    D. Erase any lines that would be blocked from view.

    NEL Chapter 7 Drawing Objects and Shapes 191

  • Practice

    1. Draw an exploded view of each piece of self-assembly furniture.

    a) table

    b) bench for a train set

    c) bookcase

    d) chair

    2. Choose a component part of one of your exploded-view diagrams for Question 1. Explain how it is related to the object.

    192 Apprenticeship and Workplace 11 NEL

  • NEL

    3. Juanita works in construction building stairs.

    a) Draw an exploded view of the component parts in the assembled stairs on the right.

    b) Explain how the component parts in your diagram for Part a) relate to the assembled stairs.

    Hint To help identify the component parts of the stairs, count the surfaces.

    c) Make a one-point perspective drawing of the assembled stairs.

    d) Make an isometric drawing of the assembled stairs. •

    Chapter 7 Drawing Objects and Shapes 193

  • 4. Clive assembles computer speakers. He is using this exploded view of a speaker. Make an isometric drawing of the assembled speaker.

    Hint You need to draw only the outside of the speaker.

    5. Joanna is a technical writer. The instructions she writes include drawings of component parts to assemble objects.

    Draw a right-side view of the component parts of this flashlight. Explain how these parts relate to the assembled flashlight.

    reflector battery casing

    retaining

    lens ring

    6. a) Find an object in your classroom. Draw an exploded view of that object.

    b) Explain how the component parts in your diagram for Part a) relate to the object you drew.

    194 Apprenticeship and Workplace 11 NEL

  • Mid-Chapter McM@Ng

    1. Build the cube structure on the right. Then create each drawing.

    a) Make an isometric

    b) Draw the top, front, and drawing of the structure. right-side views.

    NEL

    2. Use the object on the right. Create a one-point perspective drawing for it.

    3. These views show the top, front, and right-side views of an object. Make an isometric drawing of the object.

    top

    front right side

    4. Draw an exploded view of this table.

    Chapter 7 Drawing Objects and Shapes 195

  • c"

    C' 7o°

    1.5cm 1.5 cm

    55°/+ +\ 55° A' 1 cm B,

    IS Understanding Scale 1J __r1~

    How are the small and large triangles related to AABC?

    Jeb drives a truck. He often needs to read a map. His map of British Columbia shows a scale of 1 cm to 10 km.

    What is the scale ratio on this map?

    1cm 1cm 10 km

    Q What scale factor must Jeb use to convert a distance on the map to the actual distance?

    1 cm on the map equals cm on land. He must multiply distances on the map by a scale factor of

    The distance between Calgary and Medicine Hat on the map is 27 cm. What is the actual distance in kilometres?

    27 cm x = cm

    scale ratio a ratio, using the same units, that expresses the scale on a map or drawing

    Hint The scale factor is the number you multiply by. If the scale ratio is 1:x, then the scale factor is x.

    The scale ratio is cm

    CM x 1 km

    = km

    cm

    196 Apprenticeship and Workplace 11 NEL

  • Example 1 Architects draw scale drawings of homes. A common scale is 4 in. to 1 ft. The height, length, and width of a home are 6.5 in., 6.5 in., and 10.0 in. on the drawing. What are the actual measurements?

    Solution A. What is the scale ratio on the drawing?

    in. in. FRONT ELEVATION ft in.

    Express both terms in the ratio as whole numbers.

    x4_ x 4 The scale ratio is

    B. What are the actual dimensions of the home in feet? 1ft How could you H: x 6.5 in. = in.; in. x

    L: x 6.5 in. = in.; in. x

    W: x 10.0 in. = in.; in. x

    in. ft use a proportion 1ft to determine the

    in. = ft dimensions? 1ft

    in. = ft

    The height is ft. The length is ft. The width is ft.

    Example 2 Noreen collects model toy cars. Many of her cars are built using a 1:64 scale. A model of a 1966 convertible is 9.8 cm long and 3.5 cm wide. What does this scale mean? What are the dimensions of the actual car?

    Solution A. The scale means that unit of measurement on the

    model equals units of the measurement on the actual car. So actual dimensions of the car are times the dimensions of the model.

    B. What is the length of the car?

    x 9.8 cm = cm, or m

    The length of the car is about m.

    C. What is the width of the car?

    x 3.5 cm = cm, or m

    The width of the car is about m.

    REFLECTING The diameter of the tires on the actual car are

    590 mm. What is the diameter of the tires on the

    model?

    Chapter 7 Drawing Objects and Shapes 197 NEL

  • a) 1 cm to 1 m

    1 cm cm' or

    b) 5mmtoim

    5 mm

    Practice Hint

    Ratios are expressed using whole numbers and the same units. See the charts on the back cover for unit conversions.

    Hint Determine and use the scale factor for this problem.

    1. Write each scale as a scale ratio.

    c) 6in.to5ft

    6 in. in.

    , or

    d) 2 ft to 4 yd

    2ft mm' or ft, or

    2. Tajana found plans for a bookend in a woodworking magazine. The plans include a scale diagram. The scale ratio is 1:4. What are the length, thickness, and height of the bookend?

    ~ 14 in.

    ~ n

    1 in.

    front

    3. Akio drew a building plan. He used a scale of 5 in. on the diagram to represent 6 ft in the building.

    a) What is the scale of the plan?

    b) What is the scale ratio of the plan?

    198 Apprenticeship and Workplace 11 NEL

  • bedroom-1 cri by

    2.0 cm

    living room 4.0 cm by

    2.5 cm

    4. Priya has a 1:20 scale toy glider that has a length of 33.6 cm, a wingspan of 90.0 cm, and a height of 6.8 cm. Determine these dimensions on the real glider.

    5. This floor plan of an apartment is drawn with a scale of 1:200.

    a) What are the actual dimensions of bedroom 1?

    b) What are the actual dimensions of the living room?

    NEL

    6. Umiaks are boats used in the Arctic for transportation and traditional whale hunting.

    A typical umiak is 32 ft long. The beam, or width, is 48 in. Hilda is making a scale model with a scale ratio of 1:24. What dimensions should Hilda use for the length and the beam of her scale model?

    7. What are some situations where scale diagrams are used?

    Chapter 7 Drawing Objects and Shapes 199

  • NEL 200 Apprenticeship and Workplace 11

    7.6 Building Scale Models

    front right side

    ii) Can you be sure that these views represent the model? Explain.

    Use 1 cm linking cubes. Build a scale model for the views on the right.

    Use the top view to help you build the base.

    Q How many cubes tall is the model?

    Q Use the front view to add cubes to your structure.

    Add or remove cubes so that the left view and the right view of your model match the views shown above.

    Example Ko is a designer. She wants to build a model of a building 80 m tall, 20 m wide, and 40 m long. The building will be a rectangular prism. The scale will be 1:2000. How can Ko build the model?

    Hint

    A thicker line shows a change in depth. It shows the parts that are closer to you.

    Solution A. What are the actual dimensions of the building in centimetres?

    80 m = cm 20 m = cm 40 m = cm

    i) Could all these views represent the model on the right? Explain.

    ~ top front

    left side right side

    top

    front

    right side

    left side

    Y• ou will need • 1 cm linking cubes • 1 cm grid paper

  • top front left side right side

    top

    top

    front

    front

    .11111 1,

    left side

    left side

    right side

    right side

    b)

    c)

    B. What are the dimensions of the scale model?

    cm + 2000 = cm

    cm + 2000 = cm

    cm + 2000 = cm

    C. How many linking cubes are needed?

    D. Build the model. Label the top, front, and right side.

    E. Draw the top, front, and right-side views. Label each view. Suppose the scale

    ratio was 1:1000. Would you need more or fewer

    cubes to build the model? Explain.

    Practice

    1. Use linking cubes. Build a scale model for each set of views.

    a)

    NEL Chapter 7 Drawing Objects and Shapes 201

  • d)

    top front left side r

    right side

    2. How many 1 cm linking cubes would you need to build a scale model for each of these?

    a) a cube with sides 2 m long, using a 1:50 scale

    b) a rectangular prism 6 m long by 1 m wide by 2 m high, using a scale of 1:50

    3. Use a scale of 1:100. Build a model of each of the objects in Question 2. Then draw the top, front, and side views on 1 cm grid paper.

    4. Find an object that can be modelled using 1 cm linking cubes. Build a model of the object. What is the scale of your model?

    5. What are some situations where scale models are used?

    202 Apprenticeship and Workplace 11 NEL

  • 7.7 Draw and Match Work with a partner.

    Each partner builds three different cube structures.

    Trade structures with your partner. Make two different drawings of each of your partner's structures.

    Use an index card for each drawing. The drawings can be • an isometric drawing • a one-point perspective drawing • top, front, and right-side views

    You will need • linking cubes • isometric dot paper • file cards • tape • a coin • a stopwatch

    top front right side

    Each partner should have made six index card drawings.

    Rules Number of players: four (two teams of two)

    A. To set up the game, each team • places their cube structures on a desk • puts a lettered index card A to F beside each structure • places the index cards in a stack, with diagrams face down

    B. Flip a coin to see which team goes first. Use the other team's structures and cards in the game.

    C. The team that won the coin toss turns over a diagram card. The team has 5 s to name the letter of the matching structure. • If correct, take another turn. • If wrong, replace the card face down at the bottom of the

    stack. The other team has a turn.

    D. Teams take turns. Play until a team has correctly matched all the cards. This team wins.

    Hint To make an isometric drawing, use isometric dot paper. Then cut out the drawing. Tape it to an index card.

    NEL Chapter 7 Drawing Objects and Shapes 203

  • 12m

    7.8 Drawing Scale Diagrams Sanjev is a builder. He plans to construct a patio at a community centre. What are the dimensions of this patio in a 1:500 scale diagram?

    Length is 12 m x

    You will need • a centimetre ruler • an inch ruler • a compass • 1 cm grid paper

    m, or cm

    Width is 9 m x

    m, or

    cm

    Sanjev needs a scale diagram for a newsletter about the community centre.

    Draw a 1:500 scale diagram of the patio above. Record the dimensions on your diagram.

    Example 1 Lysanne works for a plumbing company. She saw these specifications for a steel washer. Draw a 2 :1 scale diagram of the top, side, and front views of the washer.

    Solution A. What are the dimensions of the washer in the new scale

    diagram?

    Width: x 16 in. = in.

    Inner diameter: x in. = in.

    Outer diameter: x in. = in.

    204 Apprenticeship and Workplace 11

    . 16 in.

    NEL

  • B. Draw a scale diagram of the views. Record the dimensions. Can you tell from

    the scale ratio whether the scale diagram will be an enlargement or a reduction of

    the actual object? Explain.

    Example 2

    Each side of the Rubik's Cube is 57 mm long. Draw a 120% scale diagram of one of the smaller component cubes.

    Solution A. What are the actual dimensions of each smaller cube?

    57 mm - = mm

    The dimensions are mm by mm by mm.

    B. 120%-100%=

    So the scale factor is . The scale ratio is :1.

    C. What are the dimensions of the component cube in the scale diagram? x mm = mm

    The dimensions are mm by mm by mm.

    D. Use the isometric dot paper. Draw the scale diagram of the cube.

    17:x; If a scale diagram

    is smatter than actual size, what

    must be true about the scale

    ratio as a percent?

    NEL Chapter 7 Drawing Objects and Shapes 205

  • X Y

    Practice 1. Each pair of diagrams represents the top of the same

    package. The scales are different. For each pair, what scale ratio relates diagram X to diagram Y?

    a) b)

    2. A computer chip on a circuit board is a rectangle. The width is 5 mm. The length is 10 mm. Coral is using a scale of 6:1 to draw plans for the circuit board. Draw a scale diagram of the computer chip for Coral's plans.

    Width:

    Length:

    3. Keenan built this structure with linking cubes. Each cube has side lengths of 1.5 cm. Use the 1 cm grid below. Draw a 2:3 scale diagram of the top, front, and right-side views.

    206 Apprenticeship and Workplace 11 NEL

  • 90 cm

    135cm

    4. Gino is selling a freezer with the dimensions shown. Draw a scale diagram of the top, front, and side views of the freezer with the lid closed. Use a scale of 1:40.

    Show your calculations for the scale diagrams.

    REFLECTING Choose an object or diagram in this lesson. How could

    it be used?

    5. This drawing of a cube structure is 25% of the actual size when built. Use this 1 cm isometric grid. Draw the cube structure that is the actual size.

    NEL

    *ii0 . • • P4 . . . •

    400.---' front ,-' right side " °

    . • • • • .

    . • .

    • " •

    • • •

    ` . • • • • •

    • •

    Chapter 7 Drawing Objects and Shapes 207

  • 7■9 Scale Diagrams and Technology You will need • drawing software

    \ J What are some computer programs you can use for drawing?

    The square foundation of a new high-rise building in Victoria has a side length of 104 ft. Ira is going to create a scale diagram of the top view of the foundation.

    The scale drawing will be on a computer grid. What scale can Ira use?

    What actual length should Ira use for the sides of each square on a grid?

    Describe the scale diagram.

    Example Francine is a pipe fitter. She is replacing old storm-sewer pipes with concrete pipes. Each pipe has an outer diameter of 1.6 m, a wall thickness of 0.2 m, and a length of 2.6 m.

    How can you use technology to create a scale drawing of the front and side views of these pipes?

    208 Apprenticeship and Workplace 11 NEL

  • ..M..MM MMMMMM ..■ ~M M~M M... Î...%~ . ...M.. OM1 .iM.■ ...........m~ ■...... ■■....I... ~ iñM■■ ■M... ~■ói

    ~..■%~

    i■r■oní ....?~M M i ......:.: ..:::..: IIHHHiH

    IlliiIlllHl(

    ~~

    ■i

    ii

    ■■

    i

    ■iiiiiiiiil l

    ~

    11i11iI 1

    ~ir ■rr

    ~i

    ~ i~~

    ~

    ~~

    Îi

    ~.~M~■ ~■■ ~i. us■~■ H Mill

    ~■~ .■::::IIII:M aVII:■■ Ia

    3ft

    A

    4ft

    r

    3ft

    r

    9ft

    Solution A. Use the drawing feature of a word-processing

    program to create a grid. Record what you did.

    B. Choose the scale. Adjust the scale of each square in the grid for the scale. Record what you did.

    C. Select the "snap objects to grid" and "display gridlines" features. Then use the line or rectangle tool to create the side view to scale.

    D. Use the circle tool to create the front view to scale.

    Practice 1. Use technology. Draw a scale diagram of each drawing. Show

    the scale for each.

    REFLECT qg What are

    advantages and disadvantages of using technology to create scale

    diagrams?

    NEL

    a) living room floor plan b) club logo 11 ft

    2ft

    8ft

    Diameter of outer circle: 8 m Diameter of inner circle: 4 m Length of each line segment: 4 m Measure of all sector angles: 90°

    Chapter 7 Drawing Objects and Shapes 209

  • >- left

    back \side

    top front

    l li

    right side

    bottom front

    2. Use technology. Draw a scale diagram of the top, front, and side views of each object.

    a) packaging box

    b) juice can

    3. Marvin designs duck houses. He drew this exploded view for a book on building duck houses. Use technology. Draw a scale diagram of the front view of each component of Marvin's design.

    Length by width A. roof: 9 in. by 9 in. B. top front: 6 in. by 7 in. C. bottom front: 6 in. by 7 in. D. back: 16 in. by 7 in. E. left side: 12 in. by 7 in. F. right side: 12 in. by 7 in. G. floor: 7 in. by 7 in.

    4. Choose two parts of the exploded view in Question 3. Explain its relationship to the duck house.

    210 Apprenticeship and Workplace 11 NEL

  • Chapter liD, whw

    1. a) Create an isometric drawing of this object.

    NEL

    b) Draw the front, top, and right-side views of the object in Part a).

    2. Create an isometric drawing of the object shown in these views.

    1

    top front right side .

    3. Make a one-point perspective drawing of this cube structure.

    P4 .., ----- front right side

    Chapter 7 Drawing Objects and Shapes 211

  • 4. Draw an exploded view of this garage.

    5. A scale on a map of Nunavut shows that 2 cm on the map represents 15 km.

    a) What is the scale ratio on this map?

    b) What is the scale factor? What does it mean?

    c) The distance between Brandon and Winnipeg is 200 km. What is this distance on the map?

    6. This cube structure was made using 1 cm linking cubes. Use grid paper. Draw a 2:1 scale diagram of the top, front, and right-side views.

    7. a) A cylindrical gas storage tank has a diameter of 12.0 m. Its height is 16.0 m. Use technology. Draw a scale diagram of the top and front views of the tank.

    b) How might someone use a scale drawing of a gas storage tank?

    212 Apprenticeship and Workplace 11 NEL

  • Chapter '@gia

    1. a) Make an isometric b) Draw the top, front, and drawing of the object on right-side views of the the right. object on the right.

    NEL

    2. Create a one-point perspective drawing of this object.

    3. a) Draw an exploded view of the components of this computer desk.

    b) How are the parts in your exploded-view diagram for Part a) related to the desk?

    Chapter 7 Drawing Objects and Shapes 213

  • 4. a) Use a ruler and the map scale. Estimate each distance.

    From Regina to Saskatoon:

    .Saskatoon

    Regina .

    From Meadow Lake to Swift Current

    Swift Current:

    0 100 200 300 km

    scale

    b) When might someone use the scale on the map for Part a)?

    5. A rectangular prism is 4.50 m by 6.00 m by 3.75 m. Alexei is going to use a 1:75 scale to build a model for the daycare where he works. How many 1 cm cubes does he need?

    6. Build a cube structure based on these views.

    l 1

    top

    front

    right side

    7. Harry bought a 1:43 scale model of a sports car. The length of the model is 34 in. How long is the actual car?

    214 Apprenticeship and Workplace 11 NEL

    SASKATCHEWAN

    • Meadow Lake

    . Prince Albert