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Can you help me with this?-example-1

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Answer:

8 cm³

Explanation:

You want the volume of Prism B similar to Prism A, where the volume of Prism A is 216 cm³, its height is 9 cm, and the height of Prism B is 3 cm.

Volume ratio

The ratio of volumes is the cube of the ratio of heights:

(Prism B volume)/(Prism A volume) = ((Prism B height)/(Prism A height))³

(Prism B volume)/(216 cm³) = ((3 cm/(9 cm))³ = 1/27

Prism B volume = (216 cm³)·(1/27) = 8 cm³

The volume is 8 cubic centimeters.

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