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Surface Area & Volume, Ratio of Similarity

Total questions: 12

Worksheet time: 24mins

Name
Class
Date
1.

Find the surface area

a)

108 units²

b)

54 units²

c)

5184 units²

d)

72 units²

2.

Find the surface area of the cylinder

a)

4647.2 cm²

b)

2960 cm²

c)

2323.6 cm²

d)

1480 cm²

3.

Find the surface area:

a)

324.93 units²

b)

324.97 units²

c)

314.06 units²

d)

314.16 units²

4.

Find the volume of the figure.

a)

684 yd³

b)

578 yd³

c)

648 yd³

d)

589 yd³

5.

Find the volume of the figure.

a)

221 km³

b)

768 km³

c)

256 km³

d)

383 km³

6.

Find the volume of the figure.

a)

523.6 m³

b)

738.02 m³

c)

4188.79 m³

d)

722.55 m³

7.

The side ratio of two similar solids is 3/5. What is the ratio of areas?

a)

3/5

b)

6/10

c)

5/3

d)

9/25

8.

The side ratio of two similar solids is 3/5. What is the ratio of volumes?

a)

3/5

b)

81/625

c)

9/25

d)

27/125

9.

What is the ratio of similarity/ ratio of side lengths?

a)

2/3

b)

4/3

c)

3/2

d)

1/2

10.

The ratio of similarity for two shapes is r= 2/5. The large solid has a base area of 125 ft2. What is the base AREA of the small shape?

a)

20

b)

781.25

c)

50

d)

312.5

11.

What is the volume of the small cone?

a)

512 m³

b)

1024 m³

c)

4000 m³

d)

3200 m³

12.

What is the surface area of the small cone?

a)

17.8 cm²

b)

44.4 cm²

c)

7.1 cm²

d)

22.2 cm²