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Total and Lateral Surface Area of Prisms and Cylinders

Total questions: 19

Worksheet time: 19mins

Name
Class
Date
1.

What is the surface area formula for a prism?

a)

S = 2πrh +2πr2

b)

S = Ph + 2B

c)

S = πrl + πr2

d)

S = ½Pl + B

2.

What is the surface area formula for a cylinder? 

a)

S = 2πrh +2πr2

b)

S = Ph + 2B

c)

S = πrl + πr2

d)

S = ½Pl + B

3.

What is the Lateral Surface Area of the tent?

a)

150 in2

b)

12,000 in2

c)

4000 in2

d)

14,000 in2

4.

Find the surface area of the triangular prism.

a)

624 cm2

b)

672 cm2

c)

698 cm2

d)

708 cm2

5.

Find the surface area of a cylinder with a radius of 4 and a height of 3. Use 3.14 for π

a)

175.84 mm2

b)

709.89 mm2

c)

75.36 mm2

d)

100.48 mm2

6.

Find the total surface area of the prism.

a)

48 square inches

b)

64 square inches

c)

88 square inches

d)

76 square inches

7.

Find the surface area of a prism with a length of 2 inches, width of 7 inches, and height of 5 inches.

a)

118 in2

b)

70 in2

c)

14 in2

d)

140 in2

8.

Triangular Prism with base lengths 3 m, 4 m, 5 m, and a height of 6m. What is the surface area?

a)

84 m2

b)

92 m2

c)

102 m2

d)

96 m2

9.

Find the lateral surface area of the prism.

a)

12 square inches

b)

48 square inches

c)

64 square inches

d)

76 square inches

10.

Campbell Soup is creating a new soup label. If a can has a height of 6 in and a diameter of 4 in, how much material does Campbell need for each soup label? Is this looking for Lateral or Total surface area?

a)

Lateral

b)

Total

11.

Campbell Soup is creating a new soup label. If a can has a height of 6 in and a diameter of 4 in, how much material does Campbell need for each soup label? Which formula can be used to find the surface area of the label?

a)

SA=2πrh+2r2

b)

SA=2πrh

c)

SA=Ph+2B

d)

V=Bh

12.

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

a)

S=Ph + 2B

b)

S=Ph + B

c)

S=Ph

d)

S=2Ph

13.

When calculating the surface area of the figure, to find the area of the base you should use...

a)

bh

b)

1/2bh

c)

πr2

d)

r2

14.

Which could be used to find the perimeter of the base for total surface area?

a)

2(6+5)

b)

6+6+5+5

c)

2(11+5)

d)

All of thse are correct

15.

Find the lateral surface area of the following shape:

a)

144

b)

96

c)

288

d)

480

16.

Find the lateral surface area of the following shape:

a)

132

b)

220

c)

64

d)

165

17.

What is lateral surface area?

a)

The area of all of the sides (including bases or top and bottom).

b)

The area of only the sides (not including the bases or top and bottom).

c)

The perimeter of the base.

d)

The area of the base.

18.

What is total surface area?

a)

The area of all of the sides (including bases or top and bottom).

b)

The area of only the sides (not including the bases or top and bottom).

c)

The perimeter of the base.

d)

The area of the base.

19.

What is the difference between lateral and total surface area?

a)

Total surface area solves for perimeter of all the sides where lateral solves for area.

b)

Total surface area is the sum of the area of all the sides where lateral surface area is the sum of the area of only the sides. (Not including the bases or top and bottom).

c)

Total surface area can only be used for prisms and lateral surface area can only be used for cylinders and cones.

d)

None of the above.