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Worksheets

Similar Solids

Total questions: 10

Worksheet time: 1hrs 23mins

Name
Class
Date
1.

The solids are similar. Find the Surface Area of the larger solid. Round your answer to the nearest tenth.

a)

216.7 ft2

b)

361.1 ft2

c)

691.9 ft3

d)

78 ft3

2.

Each pair of figures is similar. Use the information given to find the scale factor of the figure on the left to the figure on the right.

a)

1 : 63

b)

7 : 9

c)

49 : 81

d)

343 : 729

3.

The scale factor between two similar figures is given. The surface area and volume of the smaller figure are given. Find the surface area and volume of the larger figure.

a)

SA = 1,900 yd2, V = 19,000 yd3

b)

SA = 1,900 yd2, V = 1,100 yd3

c)

SA = 1,900 yd2, V = 11,000 yd3

d)

SA = 190 yd2, V = 110 yd3

4.

Some information about the surface area and volume of two similar solids has been given. Find the missing value.

a)

V = 5508 km3

b)

V = 8262 km3

c)

V = 1088 km3

d)

V = 12393 km3

5.
Are the two figures similar?
(If yes, what is the similarity ratio?)
a)
Yes; 5
b)
Yes; 9:6
c)
Yes; 1/3
d)
No
6.

In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic inches. What is the ratio of their diameters?

a)

4:13.5

b)

2:9

c)

2:3

d)

4:13.5

7.

The surface area of a certain pyramid is 54 square meters. Its volume is 648 cubic meters. If a similar pyramid has a volume of 8232 cubic meters, what is its surface area?

a)

686 m2

b)

168 m2

c)

126 m2

d)

294 m2

8.

The two figures are similar. Find the scale factor of the figure on the left to the figure on the right. Then find the ratio of surface areas and the ratio of volumes.

a)

2:9, 4:81, 8:729

b)

2:9, 4:9, 4:81

c)

2:9, 4:81, 14:6561

d)

2:9, 8:729, 4:81

9.

Some information about the surface area and volume of two similar solids has been given. Find the missing value.

a)

SA = 180 yd2

b)

SA = 120 yd2

c)

SA = 911 yd2

d)

SA = 270 yd2

10.

The two figures are similar. Find the scale factor of the figure on the left to the figure on the right. Then find the ratio of surface areas and the ratio of volumes.

a)

9:8, 81:64, 729:512

b)

9:8, 9:4, 27:8

c)

9:8, 729:512, 81:64

d)

9:17, 729:289, 81:4913