18-may-15compiled by mr. lafferty maths dept. the cube the cuboid the triangular prism net and...

18 Apr 202318 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww

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The Cube

The Cuboid

The Triangular Prism

Net and Surface Area Net and Surface Area

Faces Edges and Vertices

S4

1. Find the area a rectangle with length 6cm and breadth 18cm.

2. Calculate - 14- (- 8)

3. Calculate the percentage value of the shaded area.

4. Change 692cm into metres.18 Apr 202318 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.

Starter QuestionsStarter Questionsw

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18 Apr 202318 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.

Faces Edges and Faces Edges and VerticesVertices

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1.1. To know the terms Face To know the terms Face Edge and Vertex.Edge and Vertex.

1. To understand the meaning of Face Edge and Vertex in relation to a various shapes an be able to identify them.

2.2. Calculate the number of Calculate the number of Faces Edges and Faces Edges and Vertices for various Vertices for various shapes.shapes.

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Face Edges and Vertices

The shape below is called a cuboid.

It is made up of FACES, EDGES and VERTICES.

Faces are the sides of a shape(surface area)

Edges are where the two

faces meet (lines)

Vertices where lines meet (corners)

Don’t forget the faces edges and corners we can’t see at the back

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Front and back are the same

Top and bottom are the same

Right and left are the same

Calculate the number of faces

edges and vertices for a cuboid.

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6 faces

12 edges

8 vertices

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Faces are squares

Calculate the number of faces

edges and vertices for a cube.

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6 faces

12 edges

8 vertices

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Name and then calculate the

number of faces, edges and vertices for these shapes

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Cylinder

Cone

Sphere

Triangular Prism

3 faces2 edges

0 Vertices

5 faces9 edges

6 Vertices 2 faces1 edges

1 Vertices

1 faces0 edges

0 Vertices

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Now Try Ex 2.1Ch11 Q9 (page

168)

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Net and Surface Area Net and Surface Area The CubeThe Cube

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3

1. Find the area a rectangle with length 6cm and perimeter 18cm.

2. Calculate - 14- 8+(- 8)

3. Calculate the percentage value of the shaded area.

4. Change 692cm into ml.

5. What is the coordinate F(4,- 4) reflected in the x- axis?

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1.1. To know what net To know what net means.means.

1. To understand theterm net for the cube and work out its surface area. 2.2. Decide if a diagram Decide if a diagram

makes a net for a cube.makes a net for a cube.

3.3. Work out the surface Work out the surface area of a cube using area of a cube using previous knowledge of previous knowledge of area.area.

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BottomTopleftSideBackRightSideFront

The net of a solid shape is the shape you would getThe net of a solid shape is the shape you would getif it was made of cardboard and you “opened it upif it was made of cardboard and you “opened it upand laid it out flat”. and laid it out flat”.

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This is a NET for the cube


6 faces

All squaresAll congruent

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Now try Ex 4.1Ch11 (page 170)

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Question : Find the surface area of the cube below.

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5cm

What do we know?

• Made up of 6 facesMade up of 6 faces

• All the same (congruent)All the same (congruent)

• All squaresAll squares

Area = length x length

= l x l

2

= 5 x 5

= 25 cm

Total6 x 25 = 150cm

2

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1. Calculate the area of the shape.

2. Write 3.56m in centimetres?

3. Find the volume of a cube with length 6cm.

4. 5% of 300 people have blues. How many of the people have blue eyes.

2 cm

6cm

9cm

7 cm

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Net and Surface Area Net and Surface Area The CuboidThe Cuboid

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1.1. Draw a net of a cuboid.Draw a net of a cuboid.1. To draw the net of a cuboid and work out its surface area. 2.2. Work out the surface Work out the surface

area of a cuboid using area of a cuboid using previous knowledge of previous knowledge of the area of a rectangle.the area of a rectangle.

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Bottom

Top

LS Back RS

Front

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This is a NET for the cuboid


6 faces

Top and bottom congruent

Front and back congruent

Left and right congruent

5cm

4cm

3cm

5cm

3cm

4cm

3cm

4cm

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Front Area = l x b= 5 x 4 =20cm

2

Example Find the surface

area of the cuboid

Working

5cm

4cm

3cm

Top Area = l x b

= 5 x 3 =15cm2

Side Area = l x b

= 3 x 4 =12cm2

Total Area

= 20+20+15+15+12+12= 94cm

2

Front and back are the same

Top and bottom are the same

Right and left are the same

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1. A cube of length 10cm is filled with water. What is the volume of liquid in litres.

2. What is area of the triangle.

3. 60% of 500 pupils like Maths. How many pupils like Maths. How many pupils don't like Maths.

4. How long is it from 6.45am to 14.22 hrs

8cm

6cm

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Net and Surface Area Net and Surface Area Triangular PrismTriangular Prism

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1.1. Draw a net of a Draw a net of a triangular prism.triangular prism.

1. To draw the net of a triangular prism.

2.2. Work out the surface Work out the surface area of a right angled area of a right angled triangular prism using triangular prism using the area formulae for a the area formulae for a rectangle and triangle.rectangle and triangle.

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Back

Front

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This is a NET for the triangular prism.

5 faces

3 congruent rectangles

2 congruent triangles10cm

4cm


4cm

4cm

10cm

Bottom4cm

FTBT

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= 2 x3 =6cm2

Example Find the surface area of the right

angle prism

Working

Rectangle 1 Area = l x b

= 3 x10 =30cm2

Rectangle 2 Area = l x b

= 4 x 10 =40cm2

Total Area = 6+6+30+40+50 = 132cm

2

2 triangles the same

1 rectangle 3cm by 10cm


3cm

4cm

10cm


Triangle Area =1

bh2

Rectangle 3 Area = l x b= 5 x 10 =50cm

2

5cm

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18-may-15compiled by mr. lafferty maths dept. the cube the cuboid the triangular prism net and...

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