Similar Solids and Missing Lengths

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

• 4/7

• 7/4

• 49/16

• 16/49

What is the scale factor of the side lengths of the figure on the left to the figure on the right. 

• 3/1

• 3240/120

• 27/1

• 1/3

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

• 49/16

• 7/4

• 42/24

• 10/8

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

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

Find the volume of the larger solid given the information below. (Hint: To find the ratio of Volumes, you must first find the ratio of sides.) V = 125 m³ V = ? m³ SA = 200 m² SA = 288 m²

• 150

• 180

• 200

• 216

What is the scale factor from ΔDEF to ΔABC?

• 1/2

• 7/3

• 2

• 10/3

Find the missing perimeter.

• 98

• 112

• 86

• 154

What is the ratio of the volumes from larger to smaller.

• 5/4

• 125/64

• 25/16

• 10/8