Ratios of Similarity: Solids

Ratios of Similarity: Solids

Let's Review

• You will need your volume formulas for the next 2 questions.

Multiple Choice

Find the volume of this shape, Leave in Exact Form

Fill in the Blank

Find the volume of the Triangular Prisim.

Type a number only

Multiple Choice

When going from the linear scale factor to the ratio of areas, you...

• square it.

• cube it.

• square root it.

• cube root it.

Multiple Choice

When going from the linear scale factor to the ratio of volumes, you...

• square it.

• cube it.

• square root it.

• cube root it.

Notes

Copy this down in your notes. You will need this to refer back to when answering the next few questions.

Multiple Choice

If the linear scale factor is 5:6, then the ratio of the volumes is...

• 5:6

• 10:12

• 25:36

• 125:216

Multiple Choice

If the linear scale factor is 5:6, then the ratio of areas is...

• 5:6

• 10:12

• 25:36

• 125:216

Fill in the Blank

If the ratio of areas is 16:25, then the zoom factor is...

(Use a colon to separate your values)

Fill in the Blank

The surface area of the larger prism is 200 m². Find the surface area of the smaller prism. Type a number only.

Fill in the Blank

If the zoom factor is 2:9, then the ratio of areas is...

(Use a colon to separate your values)

Fill in the Blank

If the zoom factor is 2:9, then the ratio of volumes is...

(Use a colon to separate your values)

Multiple Choice

If the ratio of areas is 9:100, then the zoom factor is...

• 3:10

• 9:100

• 81:10000

• 27:1000

Multiple Choice

Two similar pyramids have heights of 4 inches and 7 inches.  What is the ratio of the volume of the small pyramid to the volume of the large pyramid? 

• 4:7
• 16:49
• 64:343
• 12:21

Multiple Choice

A rectangular prism has a volume of 96 cubic inches. The base measures 4 in x 4 in. What is the height?

• 8 inches

• 24 inches

• 12 inches

• 6 inches

Open Ended

Which part of this assignment was easiest, and which did you think was most challenging?