Similar Shapes and Scale

The cylinders shown are similar. If the volume of the larger cylinder is 562.5 m³, then what is the volume of the smaller cylinder?

• 288 m³

• 112.5 m³

• 450 m³

• 360 m³

Find the length of x

• x = 1

• x = 2

• x = 7

• x = 1/7

The surface area of a certain prism is 1088 square km and its volume is 13312 cubic km. If a similar solid has a surface area of 425 square km, what is this similar solids volume?

• 3250 cubic km

• 5200 cubic km

• 1950 cubic km

• 8320 cubic km

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

• an enlargement

• a reduction

• a scale factor

• bigger

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

• a reduction

• an enlargement

• a scale

• not proportional

A rectangle has the dimensions 4cm by 5cm. A scale factor of 3 is used to enlarge the rectangle. What is the new area?

• 20 cm²

• 60 cm²

• 180 cm²

• 100 cm²

The volumes of two similar solids are in the ratio 1:8

What is the ratio of the side lengths?

• 1:2

• 1:4

• 1:16

• 1:64

The perimeter of the larger square is 2 times larger than the smaller square.

• True

• False

What is one way to determine how much the area would increase using a scale factor of 3?

• take the scale factor and square it to get 3x3=9

• add all of the sides together then multiply by 3

• multiply the area of the smaller rectangle by 3

The cylinders shown are similar. Find the missing height of the larger cylinder.

• 192 cm

• 8 cm

• 48 cm

• 36 cm