SOLUTION: A rectangular box with volume 18 cubic metres has a square base with side length x metres. Express the surface area S of the box as a function of x.

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Question 399245: A rectangular box with volume 18 cubic metres has a square base with side length x metres. Express the surface area S of the box as a function of x.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A rectangular box with volume 18 cubic metres has a square base with side length x metres.
Express the surface area S of the box as a function of x.
:
The Volume of box with a square base: V = x^2 * h
x^2 * h = 18
h = h%2Fx%5E2
:
Surface area: S.A. = 2(L*W) + 2(L*h) + 2(W*h)
In this problem:
L & W = x; h = 18%2Fx%5E2
we have
S.A. = 2x^2 + 4(x*18%2Fx%5E2)
S.A. = 2x^2 + 72%2Fx