Quiz on Congruent and Similar Solids

What is the condition for two solids to be considered similar?

• Their corresponding angles are equal.

• They have the same surface area.

• Their corresponding linear measures are proportional.

• They have the same volume.

If two solids have a scale factor of 1, what can be said about them?

• They are similar.

• They are congruent.

• They have different volumes.

• They have different shapes.

In the example with edges 2√3 and 5√3, what is the scale factor?

• 3/5

• 2/5

• 5/2

• 1/2

What is the scale factor between two pyramids if their surface areas are 384 and 3456?

• 1/3

• 1/9

• 1/27

• 1/81

How is the volume ratio of two similar solids related to their scale factor?

• It is the scale factor cubed.

• It is the scale factor to the fifth power.

• It is the scale factor to the fourth power.

• It is the scale factor squared.

If the radii of two similar cones are 9 and 12 inches, what is the ratio of their volumes?

• 9/12

• 27/64

• 81/256

• 3/4

What is the radius of the smaller softball if the larger one has a radius of 1.9 inches?

• 1.45 inches

• 1.9 inches

• 1.7 inches

• 2.1 inches

What is the scale factor if the surface area ratio of two similar solids is 64/81?

• 3/4

• 4/3

• 9/8

• 8/9

If the scale factor is 8/9, what is the volume ratio of the two solids?

• 64/81

• 512/729

• 27/64

• 81/64

What is the volume of solid number two if the scale factor is 8/9 and the volume of the first solid is 4608?

• 4608

• 512

• 6561

• 729