Scale Factor with Surface Area

Two spheres have a scale factor ratio of 1:3.  The smaller sphere has a surface area of 16 ft²_.  Find the surface area of the larger sphere.

• 48 ft²

• 144 ft²

• 432 ft²

• 32 ft²

Find the ratio (blue to red) of the areas.

• 4/7

• 7/4

• 49/16

• 16/49

What is the ratio of the surface areas from large to small. 

• 49/16

• 7/4

• 42/24

• 10/8

Find the surface area of the larger solid given the information below. (Hint: To find the ratio of SA, you must first find the ratio of sides.) V = 8m³ V = 27m³ SA = 36 m² SA = ?

• 54 m²

• 81 m²

• 55 m²

• 76 m²

• 125:8

• 25:4

• 5:2

• 4:25

Which of the following measurements are related to the scale factor? Check all that apply.

• surface areas

• heights

• side lengths

• volume

• perimeter

Two rectangular prisms are similar. The smaller prism has a volume of 24 in³ and the larger prism has a volume of 375 in³. What is the ratio of the surface area of the smaller prism to the surface area of the larger prism?

• 2/5

• 4/25

• 8/125

• 24/375

Two similar pentagons have side lengths of 9 inches and 15 inches. What is the ratio of their areas?

• 3/5

• 27/125

• 9/25

• 9/15

Two spheres have a similarity ratio of 1:3.  The smaller sphere has a surface area of 16 ft²_.  What is the surface area of the larger sphere.

• 48 ft²

• 144 ft²

• 432 ft²

• 32 ft²

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