Exploring Unit Eleven: Pages 17-19 Concepts

What is the relationship between the scale factor and the perimeter of similar solids?

• The perimeter has the same ratio as the scale factor.

• The perimeter is half of the scale factor.

• The perimeter is the square of the scale factor.

• The perimeter is the cube of the scale factor.

Which of the following is NOT a type of linear measurement used to determine similarity in solids?

• Diameter

• Volume

• Width

• Height

If two solids have a scale factor of 3:1, what is the ratio of their surface areas?

• 3:1

• 9:1

• 27:1

• 1:3

Given the surface area ratio of two similar solids is 25:4, what is the scale factor?

• 2:5

• 5:2

• 125:8

• 25:4

If the volume ratio of two similar solids is 27:64, what is the scale factor?

• 27:64

• 9:16

• 3:4

• 1:2

What is the volume ratio of two similar solids with a scale factor of 2:3?

• 1:2

• 8:27

• 4:9

• 2:3

If the diameter of solid A is 24 and the diameter of solid B is 30, what is the scale factor?

• 5:4

• 30:24

• 24:30

• 4:5

Given the volumes of two similar pyramids are 648 and 1029, what is the scale factor?

• 7:6

• 648:1029

• 6:7

• 1029:648

What is the surface area ratio of two similar solids with a scale factor of 7:2?

• 49:4

• 7:2

• 14:4

• 2:7

If the heights of two similar solids are in the ratio 7:3, what is the volume ratio?

• 49:9

• 21:9

• 343:27

• 7:3