Lengths, Areas, and Volumes of Similar Figures

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

• Yes; 3

• Yes; 3/10

• Yes; 3/5

• No

Find the ratio (blue to red) of the areas.

• 4/7

• 7/4

• 49/16

• 16/49

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 figures are similar. Solve for w.

• 258 cm

• 260 cm

• 268 cm

• 270 cm

The figures are similar. Solve for k.

• 275 in

• 279 in

• 282 in

• 284 in

Calculate the composite surface area of the square pyramid on top of the square prism.

• 8160 cm²

• 2400 cm²

• 3456 cm²

• 2304 cm²

What is the ratio of the volumes from larger to smaller. (HINT* Find the ratio of the side lengths first)

• 5/4

• 125/64

• 25/16

• 10/8

The ratio of the volume of two spheres is 8:27. What is the ratio of their radii?

• 2:3

• 4:9

• 3:4

• 64:729

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

• Yes; 5

• Yes; 9:6

• Yes; 1/3

• No

Suppose the dimensions of a triangle with a perimeter of 18 units are doubled. Find the perimeter of the new triangle.

• 18

• 36

• 72

• 288