Similar Figures 3D

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

• 49/16

• 7/4

• 42/24

• 10/8

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

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

• Yes; 3

• Yes; 3/10

• Yes; 3/5

• No

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 from larger to smaller.

• 5 : 2

• 40 : 1

• 4 : 25

• 2 : 5

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

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

• V = 5508 km³

• V = 8262 km³

• V = 1088 km³

• V = 12393 km³

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

• SA = 652 yd²

• SA = 3878 yd²

• SA = 1330 yd²

• SA = 931 yd²

If the side lengths are tripled, then which of the following statements about its volume will be true?

• The new volume will be 3 times larger

• The new volume will be 9 times larger

• The new volume will be 10 times larger

• The new volume will be 27 times larger

What is the scale factor of the side lengths of the figure on the left to the figure on the right.

• 3/1

• 3240/120

• 27/1

• 9/1