Similar Solids and Missing Lengths

If the ratio of the areas of two similar figures is 64:121, what is the ratio of their volumes?

• 64:121

• 8:11

• 120:242

• 512:1331

Each pair of figures is similar. Use the information given to find the scale factor of the figure on the left to the figure on the right.

• 9 : 25

• 3 : 5

• 1 : 10

• 27 : 125

Each pair of figures is similar. Use the information given to find the scale factor of the figure on the left to the figure on the right.

• 1 : 63

• 7 : 9

• 49 : 81

• 343 : 729

The surface area of a rectangular prism is 166 square feet. A similar prism has a surface area of 1494 square feet. If the length of the smaller prism is 5 feet, what is the length of the larger prism?

• 10

• 15

• 45

• 50

Tags

CCSS.7.G.B.6

The volume of a prism is 1000 cubic centimeters. A similar prism has a volume of 27 cubic centimeters. What is the ratio of their surface areas?

• 100:9

• 10:3

• 500:13.5

• 100:2.7

Tags

CCSS.7.G.B.6

The scale factor between two similar figures is given. The surface area and volume of the smaller figure are given. Find the surface area and volume of the larger figure.

• SA = 612 km², V = 2160 km³

• SA = 612 km², V = 360 km³

• SA = 3672 km², V = 2160 km³

• SA = 102 km², V = 60 km³

The volumes of two similar solids are in the ratio 27:8

What is the ratio of the surface areas?

• 3:2

• 3:1

• 9:4

• 9:1

A scale factor of 2 is used to enlarge the dimensions of a square. What is the effect of this change on the area of the square?

• The area will be half as big.

• The area will be twice as large.

• The area will be 4 times larger.

• The area will be 8 times larger.

• The area will not change.

Tags

CCSS.7.G.A.1

Two similar pyramids have heights of 4 inches and 7 inches.  What is the ratio of the volume of the small pyramid to the volume of the large pyramid? 

• 4:7

• 16:49

• 64:343

• 12:21

The pair of figures are similar. Find the missing side.

• x = 9

• x = 28

• x = 7

• x = 63

Tags

CCSS.HSG.SRT.A.2