Similar Solids and Changing Dimensions

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

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 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

If all the edges of a prism are multiplied by 5, then the volume of the prism will be multiplied by ___.

• 5

• 25

• 50

• 125

If the ratio of the surface areas of two similar solids is 64:121, what is the ratio of their volumes?

• 64:121

• 8:11

• 120:242

• 512:1331

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

• Yes; 5

• Yes; 9:6

• Yes; 1/3

• No

When a cube is tripled in size, then the volume is _______.

• 81 times larger

• 27 times larger

• 9 times larger

• 3 times larger

The volume of a prism is 80 in³.  If each edge is divided by 2 to make a new prism, then the new volume will be _______.

• 80 in³

• 40 in³

• 20 in³

• 10 in³

When you triple the height, the volume _____

• Stays  the same

• Doubles

• Triples

• Quadruples

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

• Yes; 3

• Yes; 3/10

• Yes; 3/5

• No