Scaling Solids

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

• Yes; 3
• Yes; 3/10
• Yes; 3/5
• 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

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

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

In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic inches. What is the ratio of their diameters?

• 4:13.5

• 2:9

• 2:3

• 4:13.5

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

Two similar cylinders have surface areas of 40π ft² and 90π ft². What is the ratio of the height of the large cylinder to the height of the small cylinder?

• 4/9

• 2/3

• 8/27

• 16/81

The surface area of the larger prism is 2560 m².  Find the surface area of the smaller prism.

• 921.6 m²
• 1536 m²
• 553 m²
• 7111.1 m²