surface area of solids cps

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Surface Area of Solids

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Page 1: Surface Area Of Solids Cps

Surface Area of Solids

Page 2: Surface Area Of Solids Cps

What is surface area?

Consider the cylinder shown in the picture. What two dimensional shapes combine to form the cylinder?

Page 3: Surface Area Of Solids Cps

What is surface area?

Surface area is the material it takes to create the object.

Think of taking apart the object piece by piece and finding the area of each piece (shape). Add the areas of the shapes that form the object to get the surface area.

Page 4: Surface Area Of Solids Cps

What shapes combine to form a cube?

A. circles

B. rectangles

C. Rectangles and squares

D. squares

Page 5: Surface Area Of Solids Cps

How do we find area of a square?

A. A = lw

B. A = bh

C. A = s2

D. A = πr2

Page 6: Surface Area Of Solids Cps

How many squares combine to form a cube?(Each one is called a “face.”)

A. 4

B. 6

C. 8

D. 10

Page 7: Surface Area Of Solids Cps

What is the formula for the surface area of a cube?

A. SA = s2

B. SA = 6s2

C. SA = s3

D. SA = 6s3

Page 8: Surface Area Of Solids Cps

Find the surface area of a cube, whose edge measures 5 cm.

150

0

Page 9: Surface Area Of Solids Cps

What shapes combine to form a rectangular prism (box)?

Page 10: Surface Area Of Solids Cps

What shapes combine to form a rectangular prism (box)?

A. Circles and squares

B. Squares

C. Squares and rectangles

D. Rectangles

Page 11: Surface Area Of Solids Cps

What is the area of a rectangle?

A. A = s2

B. A = lw

C. A = πr2

D. A = 2l + 2w

Page 12: Surface Area Of Solids Cps

How many rectangles form a rectangular prism?

6

0

Page 13: Surface Area Of Solids Cps

Let’s look at a rectangular prism

Page 14: Surface Area Of Solids Cps

Do you see the RED

face?

4 in.

7 in.

10 in.

What are the dimensions of this rectangle?10 in.

4 in.

Page 15: Surface Area Of Solids Cps

Do you see another face that is just like the RED face?

Where is it located?

4 in.

7 in.

10 in.

Keep an eye on the next screen!

Page 16: Surface Area Of Solids Cps

Yes, it’s on the back.

10 in.

4 in.

10 in.

4 in.

Page 17: Surface Area Of Solids Cps

Now there are 2 rectangles

40 in2

40 in2 that each have an

area of 40 sq. in.

Page 18: Surface Area Of Solids Cps

4 in.

7 in.

10 in.

Do you see the BLUE face?

What are the dimensions of this rectangle?

4 in.

7 in.

Page 19: Surface Area Of Solids Cps

Do you see another face that is just like the BLUE face?

Where is it located?

4 in.

7 in.

10 in.

Page 20: Surface Area Of Solids Cps

Yes, it’s on the left side.

4 in.

7 in.7 in.

4 in.

Page 21: Surface Area Of Solids Cps

Now there are 2 rectanglesthat each have an area of 28 sq. in.

28 in2

28 in2

Page 22: Surface Area Of Solids Cps

4 in.

7 in.

10 in.

Do you see the GREEN face?

What are the dimensions of this rectangle?

10 in.

7 in.

Page 23: Surface Area Of Solids Cps

Do you see another face that is just like the GREEN face?

Where is it located?

4 in.

7 in.

10 in.

Page 24: Surface Area Of Solids Cps

Yes, it’s on the bottom.

10 in.

7 in.

10 in.

7 in.

Page 25: Surface Area Of Solids Cps

Now there are 2 rectanglesthat each have an area of 70 sq. in.

70 in2

70 in2

Page 26: Surface Area Of Solids Cps

Now we just need to add all the areas of the sides together.

+ +

++ 70 in2

28 in2

40 in2

40 in2

28 in2

70 in2

Page 27: Surface Area Of Solids Cps

The total Surface Area for this rectangular prism is

40 + 40 + 28 + 28 + 70 + 70 =

276 in2

Page 28: Surface Area Of Solids Cps

Based on the previous example what is the formula for the surface area of a rectangular

prism?

A. SA = 6lw

B. SA = lw + wh + lh

C. SA = 2lw + 2wh + 2lh

D. SA = lwh

Page 29: Surface Area Of Solids Cps

Use the formula to find the surface area of the rectangular prism with l = 6, w = 5 and b = 4.

148

0

Page 30: Surface Area Of Solids Cps

What shapes combine to form a cylinder?

Page 31: Surface Area Of Solids Cps

What shapes combine to form a cylinder?

Page 32: Surface Area Of Solids Cps

What shapes combine to form a cylinder?

A. circles

B. rectangles

C. Circles and rectangle

D. Square and circles

Page 33: Surface Area Of Solids Cps

What formula can be used to find the surface area of a cylinder?

A. SA = πr2

B. SA = 2πr2 + πdh

C. SA = πr2h

D. SA = 2πr2 + lw

Page 34: Surface Area Of Solids Cps

Find the surface area of a cylinder whose radius is 5 and whose height is 8. (to the nearest tenth)

408.4

0

Page 35: Surface Area Of Solids Cps

Basically, surface area can be found by

ADDING THE AREAS OF THE INDIVIDUAL SURFACES (SHAPES) THAT ARE COMBINED TO FORM THE OBJECT.