Homework Help: algebra

Posted by Mary on Sunday, May 15, 2011 at 8:04am.

In a rectangular prism, the length and width are multiplied by 4. What is the relationship of the volume of the resulting rectangular prism compared to the original volume of the rectangular prism?

Is the new volume 8 times geater than original?

algebra - Jai, Sunday, May 15, 2011 at 9:00am
recall that the volume of a rectangular prism is given by
V = L*W*H
where
L = lenght
W = width
H = height.
if 4 is multiplied to both length and width, the new volume, V', is
V' = (4L)*(4W)*(H)
V' = 16*(L*W*H) or
V' = 16*V

thus the new volume is 16 times greater.

hope this helps~ :)

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