10-Similar Solids - Kuta Software

Kuta Software - Infinite Geometry

Name___________________________________

Similar Solids

Date________________ Period____

Are the two figures similar? If so, state the scale factor. 1)

2) 12 ft 24 ft

8m

40 m

40 ft 18 ft 80 ft

60 ft

20 m

50 m

3)

27 km

81 km

4) 18 cm 54 cm 6 cm

18 km

21 cm

54 km

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. 5)

6)

SA = 275 cm²

SA = 7π in²

SA = 396 cm²

SA = 175π in²

8)

7)

V = 10240 mi³ V = 20000 mi³

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V = 3240 in³

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V = 120 in³

Worksheet by Kuta Software LLC

Each pair of figures is 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. 9)

10) 24 km

42 km

160 mi 200 mi

63 km

36 km 36 km

63 km

80 mi 100 mi

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. 11) scale factor = 1 : 2 SA = 90 yd² V = 216 yd³

12) scale factor = 4 : 9 SA = 256 km² V = 1536 km³

Some information about the surface area and volume of two similar solids has been given. Find the missing value. 13) Solid #1 SA = 1088 km² V = 13312 km³

15) Solid #1 SA = 468 ft² V = 1944 ft³

Solid #2 SA = 425 km² V=?

Solid #2 SA = ? V = 9 ft³

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14) Solid #1 SA = 1100 yd² V = 19000 yd³

16) Solid #1 SA = 54 m² V = 648 m³

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Solid #2 SA = 176 yd² V=?

Solid #2 SA = ? V = 8232 m³


Kuta Software - Infinite Geometry

Name___________________________________

Similar Solids

Date________________ Period____

Are the two figures similar? If so, state the scale factor. 1)

2) 12 ft 24 ft

8m

40 m

40 ft 18 ft 80 ft

60 ft

20 m

50 m

Yes; 3 : 10

3)

No

27 km

81 km

4) 18 cm 54 cm 6 cm

18 km

21 cm

54 km

No

Yes; 1 : 3

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. 6)

5)

SA = 275 cm²

SA = 7π in²

SA = 396 cm² 6:5

SA = 175π in²

1:5

7)

8)

V = 10240 mi³ V = 20000 mi³

V = 3240 in³

5:4

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V = 120 in³

3:1

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Each pair of figures is 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. 9)

10) 24 km

42 km

160 mi 200 mi

63 km

36 km 36 km

63 km

7 : 4, 49 : 16, 343 : 64

80 mi 100 mi

5 : 4, 25 : 16, 125 : 64

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. 11) scale factor = 1 : 2 SA = 90 yd² V = 216 yd³

12) scale factor = 4 : 9 SA = 256 km² V = 1536 km³

SA = 360 yd², V = 1728 yd³

SA = 1296 km², V = 17496 km³

Some information about the surface area and volume of two similar solids has been given. Find the missing value. 13) Solid #1 SA = 1088 km² V = 13312 km³

Solid #2 SA = 425 km² V=?

14) Solid #1 SA = 1100 yd² V = 19000 yd³

V = 3250 km³

15) Solid #1 SA = 468 ft² V = 1944 ft³

Solid #2 SA = 176 yd² V=?

V = 1216 yd³

Solid #2 SA = ? V = 9 ft³

16) Solid #1 SA = 54 m² V = 648 m³

SA = 13 ft²

Solid #2 SA = ? V = 8232 m³

SA = 294 m²

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