Scaling Volume and Area

The side lengths of two similar solids are in the ratio 1:2

What is the ratio of the volumes?

• 1:4

• 1:8

• 2:4

• 2:8

If two figures are similar, their surface area ratio is ...?

• the same

• squared

• cubed

• twice as much

If two figures are similar, their volume ratio is ...?

• the same

• squared

• cubed

• three times as much

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

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 surface area of a rectangular prism is 166 square feet. A similar prism has a surface area of 1494 square feet. If the length of the smaller prism is 5 feet, what is the length of the larger prism?

• 10

• 15

• 45

• 50

Find the surface area of the larger solid.

Enter a number only.

What is the surface area of the larger solid?

• 50 ft²

• 45 ft²

• 81 ft²

• 225 ft²

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

• The new surface area will be 3 times larger

• The new surface area will be 9 times larger

• The new surface area will be 10 times larger

• The new surface area will be 27 times larger

What will the surface area of the smaller cone be?

Enter a number only.