Scaling and Areas

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

What would be the appropriate volume for the larger pyramid?

• 8 yd³

• 2 yd³

• 4 yd³

• 16 yd³

When scaling area, you will use...

• k

• k²

• k³

• It depends on the problem

The surface area of the prism was originally 100 sq inches, but it was dilated with a k=.5. What is the new surface area?

• 100

• 50

• 25

• 12.5

If you have the original and dilated AREA, you need to divide them and take the ____ root.

• prime

• square

• cube

• It depends on the problem

The original cup has 48oz. The mini-cup has 6oz. What was the original scale factor from original to mini-cup?

• 6

• 8

• .166

• .5

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.