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Pavel [41]
3 years ago
15

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?

Mathematics
1 answer:
aniked [119]3 years ago
7 0

Answer:

  A.  189 ft³

Step-by-step 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

_____

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.

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