Similar 3D Solids

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

• Yes; 3

• Yes; 3/10

• Yes; 3/5

• No

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

• Yes; 5

• Yes; 9:6

• Yes; 1/3

• No

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

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

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

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

• 49/16

• 7/4

• 42/24

• 10/8

Find the surface area of the larger solid given the information below. (Hint: To find the ratio of SA, you must first find the ratio of sides.)

• 54 m²

• 81 m²

• 55 m²

• 76 m²

If all of the dimensions of a triangular prism decreased by 1/3, how much would the volume decrease by?

• 1/27

• 1/9

• 1/3

• 1/6

Two similar pyramids have heights of 4 inches and 7 inches.  What is the ratio of the volume of the small pyramid to the volume of the large pyramid? 

• 4:7

• 16:49

• 64:343

• 12:21