The volume of clay sculpture is 540 cubic inches. What is the volume of similar sculpture that is smaller by a scale factor of 1/2.

67.5 in³

Step-by-step explanation:

Given that :

Volume 1 = 540 in³

Volume 2 of similar shape = x ; if the scale factor = 1/2

Volume of a shape = length * width * height)

The scale factor = 1/2

Volumetric factor = 1/2 * 1/2 * 1/2 = 1/8

Hence, the volume of similar sculpture will be :

540 in³ * 1/8 = 67.5 in³

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