Understanding Similar Solids

What defines similar solids?

• Their corresponding dimensions are proportional.

• They have the same volume.

• They have the same color.

• They are made of the same material.

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If two solids are similar, what can be said about their corresponding dimensions?

• They are identical.

• They are proportional.

• They are unrelated.

• They are inversely proportional.

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What is the scale factor between two similar cylinders with dimensions 6 and 5, and 12 and 10?

• 2/1

• 5/6

• 1/2

• 6/5

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Are two rectangular prisms with dimensions doubled similar?

• Yes

• No

• Only if they are the same color

• Cannot be determined

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What is the ratio of areas between two similar solids with a length scale factor of 1/2?

• 1/2

• 1/4

• 2/1

• 4/1

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How do you find the scale factor of lengths from the ratio of volumes?

• Divide by 3

• Multiply by 2

• Cube root

• Square root

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What is the scale factor of two similar prisms with surface areas of 144 and 324?

• 9/4

• 4/9

• 3/2

• 2/3

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What happens to the ratio of volumes when the scale factor of lengths is 1/2?

• It doubles

• It remains the same

• It becomes 1/8

• It becomes 1/4

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If the volume ratio of two similar solids is 64 over 125, what is the ratio of their areas?

• 64/125

• 16/25

• 32/125

• 8/15

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What is the surface area of the smaller solid if the larger one has a surface area of 250 and the area ratio is 16 over 25?

• 100 square meters

• 160 square meters

• 200 square meters

• 250 square meters

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