Scaling Principle for Volumes

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 areas?

• 1:4

• 1:8

• 2:4

• 2:8

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

The side lengths of two similar solids are in the ratio 2:5

What is the ratio of the areas?

• 4:25

• 8:125

• 2:25

• 4:125

The side lengths of two similar solids are in the ratio 2:5

What is the ratio of the volumes?

• 4:25

• 8:125

• 2:25

• 4:125

The side lengths of two similar solids are in the ratio 3:2

What is the ratio of the areas?

• 9:4

• 27:8

• 9:2

• 27:9

The side lengths of two similar solids are in the ratio 3:2

What is the ratio of the volumes?

• 9:4

• 27:8

• 9:2

• 27:9

The areas of two similar shapes are in the ratio 9:1

What is the ratio of the side lengths?

• 3:1

• 1:3

• 81:1

• 1:81

The areas of two similar shapes are in the ratio 16:25

What is the ratio of the side lengths?

• 4:5

• 5:4

• 8:5

• 5:8