Surface Area and Volume Change in Dimensions

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

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 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