Scaling and Areas

What is the surface area of the cylinder?

• 176π cm²

• 376.8 cm³

• 376.8 cm²

• 120π cm²

What is the total surface area of the triangular prism shown? 

• 468 in²

• 540 in²

• 576 in²

• 700 in²

A square pyramid is covered with decorative wrapping paper with no overlap.  The net of the box is shown on the right.  How many square centimeters of wrapping paper are needed to cover the surfaces of the box? 

• 108 cm²

• 324 cm²

• 180 cm²

• 432 cm²

If a dilation produces a congruent figure, then the scale factor was equal to _____

• 1/2

• 2

• 10

• 1

In the figure above, a dilation from A to A' has occurred. What is the scale factor?

Mathematical Equivalence

ON

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

• an enlargement

• a reduction

• a scale factor

• bigger

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

• an enlargement

• a reduction

• a scale factor

• bigger

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?

Circle B is a dilation of Circle A by point D. The area of Circle B is 900π. The area of circle A is 36π. What is the scale factor?

Mathematical Equivalence

ON

The side lengths of two similar solids are in the ratio 1:3

What is the ratio of the areas?

• 1:9

• 1:27

• 1:6

• 1:18