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surface areas of two similar figures are given. the volume of the larger figure is given. find the volume of the smaller figure​

surface areas of two similar figures are given. the volume of the larger figure is-example-1

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9514 1404 393

Answer:

216 in³

Explanation:

The ratio of volumes is the 3/2 power of the ratio of areas.

small volume = ((small area)/(large area))^(3/2) × (large volume)

= (212/1325)^(3/2) × 3375 in³ = (4/25)^(3/2) × 3375 in³ = (8/125)×3375 in³

small volume = 216 in³

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