Similar Solids and Missing Lengths

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.

• 9 : 25

• 3 : 5

• 1 : 10

• 27 : 125

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.

• 1 : 63

• 7 : 9

• 49 : 81

• 343 : 729

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.

• 1 : 10

• 40 : 1

• 4 : 25

• 2 : 5

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.

• 1 : 7

• 7 : 10

• 49 : 100

• 343 : 1000

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.

• 2:9, 4:81, 8:729

• 2:9, 4:9, 4:81

• 2:9, 4:81, 14:6561

• 2:9, 8:729, 4:81

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.

• 9:8, 81:64, 729:512

• 9:8, 9:4, 27:8

• 9:8, 729:512, 81:64

• 9:17, 729:289, 81:4913

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.

• 3:4, 27:8, 9:128

• 3:1, 9:1, 27:1

• 3:1, 9:1, 81:1

• 3:1, 6:1, 9:1

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.

• 9:2, 9:1, 27:2

• 9:11, 729:121, 81:1331

• 9:2, 9:1, 81:4

• 9:2, 81:4, 729:8

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.

• SA = 384 ft², V = 576 ft³

• SA = 128 ft², V = 256 ft³

• SA = 128 ft², V = 1024 ft³

• SA = 512 ft², V = 1024 ft³

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.

• SA = 1,900 yd², V = 19,000 yd³

• SA = 1,900 yd², V = 1,100 yd³

• SA = 1,900 yd², V = 11,000 yd³

• SA = 190 yd², V = 110 yd³