Similar Figure Ratio

Two similar cones have a scale factor of 8/27. What is the ratio of their volumes?

• 2/3

• 64/729

• 512/19683

• 8/27

Two spheres have a scale factor ratio of 1:3.  The smaller sphere has a surface area of 16 ft²_.  Find the surface area of the larger sphere.

• 48 ft²

• 144 ft²

• 432 ft²

• 32 ft²

Are the two figures similar?
(If yes, what is the similarity ratio?)

• Yes; 5

• Yes; 9:6

• Yes; 1/3

• No

What is the ratio of the surface areas from large to small. 

• 49/16

• 7/4

• 42/24

• 10/8

The volume of a prism is 1000 cubic centimeters. A similar prism has a volume of 27 cubic centimeters. What is the ratio of their surface areas?

• 100:9

• 10:3

• 500:13.5

• 100:2.7

Which term describes matching sides of similar figures?

• Corresponding Sides

• Corresponding Angles

• Scale Factor

The two figures are similar. Find the indicated side length.

• 15

• 24

• 16

• 18

The two figures are similar. What is the scale factor going from the smaller figure to the larger figure?

• 6/5

• 5/6

• 25/36

• 36/25

The pair of figures is similar. Find the missing side.

• x = 20

• x = 12

• x = 5

• x = 4

Solve for x. The two figures are similar.

• x = 6

• x = 9

• x = 7

• x = `0