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April 17, 2014

April 17, 2014

Posted by **Mary** on Sunday, May 15, 2011 at 9:23am.

A.the new volume will be 1/2 as big as the original

B.the new volume will be two times bigger than original

C. the new volume will be 1/8 as big as original

D. the new volume will be 8 times bigger than original.

- Algebra-right question for Jai -
**Jai**, Sunday, May 15, 2011 at 9:43amthe volume of a triangular prism is given by

V = (1/2)*(B*H*L)

where

B = base

H = height

L = length

thus the new volume becomes,

V' = (1/2)*(2*B)(2*H)*L

V' = 2*(1/2)*(B*H*L) or

V' = 2*V

thus the new volume is twice the original.

note that first statement is tricky. i interpreted it as "the legs (base and height of triangle) of the base (meaning the base of the prism, which is a right triangle) are each doubled" thus saying that both base, B, and height, H is doubled, and not 1/2 of H. that's why in V', the H is multiplied by 2.

hope this helps~ :)

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