Solid Geometry

If all the edges of a prism are multiplied by 5, then the volume of the prism will be multiplied by ___.

• 5

• 25

• 50

• 125

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

• 49/16

• 7/4

• 42/24

• 10/8

The pair of figures is similar. Find the missing side.

• x = 12

• x = 3

• x = 40

• x = 4

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

• Yes; 5

• Yes; 9:6

• Yes; 1/3

• No

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

The ratio of the volume of two spheres is 8:27. What is the ratio of their radii?

• 2:3

• 4:9

• 3:4

• 64:729

Two similar cones have a scale factor of 8/27. What is the ratio of their volumes?

• 2/3

• 64/729

• 512/19683

• 8/27

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

• 4/7

• 7/4

• 49/16

• 16/49

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