Lengths, Areas, and Volumes of Similar Figures

What is the scale factor of the side lengths (Ratio of the lengths) of the large pyramid to the small pyramid? 

• 3/1

• 3240/120

• 27/1

• 1/3

The ratio of the volumes of two spheres is 64:27. What is the ratio of the lengths of the radii of these two spheres?

• 2:1

• 3:4

• 4:3

• 4:9

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

Find the ratio of the volumes from larger to smaller. HINT: Find the ratio of the side lengths first.

• 5/4

• 125/64

• 25/16

• 10/8

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 the larger prism is 2560 m².  Find the surface area of the smaller prism.

• 921.6 m²

• 1536 m²

• 553 m²

• 7111.1 m²

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

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.