Scaling Volume and Area

The comic store by my house sells regular-sized and big-sized dice. The guy Steve said that because the edge of the Big Die was 4 times longer than the edge of the Small Die, it was also 4 times the size of the Small Die. What do you think?

• Steve right. The Big Die is 4 times the size of the Small Die.

• Steve wrong. The Big Die is 64 times the size of the Small Die.

• Steve both right and wrong. He is colloquially right but mathematically wrong, leave him alone.

• Steve neither right nor wrong. The claim his opinion is based on is unproven. Did he measure both die to millimeter precision?

What is the surface area of the cylinder?

• 176π cm²

• 376.8 cm³

• 376.8 cm²

• 120π cm²

Find the surface area of this figure.

• 148 cm²

• 120 cm²

• 50 cm²

• 54 cm²

What is the volume of this prism?

• 7 cubic units

• 4 cubic units

• 6 cubic units

• It's impossible to find

If the scale factor is less than 1, the new figure will be

• an enlargement

• a reduction

• a scale factor

• bigger

The surface area of the prism was originally 100 sq inches, but it was dilated with a k=.5. What is the new surface area?

• 100

• 50

• 25

• 12.5

When scaling volume, you will use...

• k

• k²

• k³

• It depends on the problem

The volume of the pyramid was originally 100 liters, but it was dilated with a k=3. What is the new volume?

• 2700 liters

• 900 liters

• 300 liters

• 100 liters

The original cup has 48oz. The mini-cup has 6oz. What was the original scale factor from original to mini-cup?

• 6

• 8

• .166

• .5

If you have the original and dilated VOLUME, you need to divide them and take the ____ root.

• prime

• square

• cube

• It depends on the problem