Scaling Volume and Area

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON

A 3-D solid is formed by rotating the rectangle shown at the right about the vertical line. The dimensions of the rectangle are stated in inches. What is the volume of the solid formed by this rotation, in cubic inches?

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

What would be the appropriate volume for the larger pyramid?

• 8 yd³

• 2 yd³

• 4 yd³

• 16 yd³

If the scale factor is greater than one, the new figure will be

• reduction

• enlargement

• scale

• not proportional

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 1:2

What is the ratio of the areas?

• 1:4

• 1:8

• 2:4

• 2:8