Calculating Solids

Use Euler's formula to determine the number of edges. 
There are 6 faces and 8 vertices

• 14

• 12

• 2

• 48

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

• Yes; 3

• Yes; 3/10

• Yes; 3/5

• No

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

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

• 9/1

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 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

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

• Yes; 5

• Yes; 9:6

• Yes; 1/3

• No

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

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