The rectangular prism is increased by a factor of three. By what factor does the volume increase?

Question

Mathematics

Averie Oneal

30 April, 17:08

The rectangular prism is increased by a factor of three. By what factor does the volume increase?

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Answers (1)

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Tomcat · Answer 1

27

Step-by-step explanation:

Suppose that the dimensions of the rectangular prism are L, W and H.

Then the volume is V = L*W*H.

If you mean to increase EACH dimension by a factor of 3, then we' have

V = (3L) * (3W) * (3H), or V = 27 L*W*H.

The volume of the modified prism would be 27 times larger than that of the original prism.