Area Ratio of Similar Figures

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

• 11/6

• 6/11

• 121/36

• 36/121

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

• 9/14

• 14/9

• 196/81

• 81/196

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

• 4/7

• 7/4

• 49/16

• 16/49

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

• 64/25

• 25/64

• 5/8

• 8/5

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

• 49/16

• 7/4

• 42/24

• 10/8

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

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

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

• 4/7

• 7/4

• 49/16

• 16/49

Are the two figures similar?
(If yes, what is the similarity ratio?)

• Yes; 3

• Yes; 3/10

• Yes; 3/5

• No

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