Similar 3D Figures

The surface area ratio between 2 pyramids is 25:4. What is the ratio of their heights?

• 5:4

• 5:2

• 25:4

• 125:16

Two cylinders have a radius ratio of 3:7. What is the ratio of their volumes?

• 3:7

• 9:49

• 27:343

Two cones have a height ratio of 1:2. What is the ratio of their volumes?

• 1:2

• 1:4

• 1:6

• 1:8

Two cones have a height ratio of 1:2. What is the ratio of their surface areas?

• 1:2

• 1:4

• 1:6

• 1:8

2 pyramids have a volume ratio of 64:1. What is the ratio of the side of the bases?

• 64:1

• 8:1

• 4:1

• 2:1

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