Question

X

If the edges of a rectangular prism are increased by a scale factor of 3, how will the volume change
O A. The new volume is 3 times the old volume,
B. The new volume is 9 more than the old volume.
O C. The new volume is 9 times the old volume,
D. The new volume is 27 more than the old volume,
O E. The new volume is 27 times the old volume,

Answer 1

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Answer:

E. The new volume is 27 times the old volume

Explanation:

If L, W, and H are the original length, width, and height, then the original volume is ...

V = LWH

The volume after the scale factor is applied is ...

V' = L'W'H' = (3L)(3W)(3H) = 27LWH = 27V

The new volume is 27 times the old volume.