Scaling Solids

The volume of the pyramid was originally 100 liters, but it was dilated with a k=3. What is the new volume?

• 2700 liters

• 900 liters

• 300 liters

• 100 liters

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

When scaling volume, you will use...

• k

• k²

• k³

• 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

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

• prime

• square

• cube

• It depends on the problem

The original cup has a surface area of 64 square inches. The mini-cup has a surface area of 4 sq inches. What was the original scale factor from original to mini-cup? (Hint: first divide Image/Original)

• 16

• 1/16

• .25

• .5

Circle B is a dilation of Circle A by point D. The area of Circle B is 900π. The area of circle A is 36π. What is the scale factor?

Mathematical Equivalence

ON

The side lengths of two similar solids are in the ratio 1:3

What is the ratio of the areas?

• 1:9

• 1:27

• 1:6

• 1:18

The side lengths of two similar solids are in the ratio 1:3

What is the ratio of the volumes?

• 1:9

• 1:27

• 1:6

• 1:18

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