Question

The volume of a rectangular prism is 1,512 ft. If the dimensions are cut in half, what will be the volume of the new prism?

A. 189ft
B. 252 ft
C. 378 ft
D, 756 ft

Answer 1

A. 189 ft³

Explanation:

If the volume of the original prism is ...

V = LWH

then the volume of the smaller one will be ...

v = (L/2)(W/2)(H/2) = LWH/8 = V/8

The smaller prism will have a volume of ...

1512 ft³/8 = 189 ft³

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As you can see from the above, the scale factor for volume is the cube of the scale factor for the linear dimensions: (1/2)³ = 1/8.