SOLUTION: An open rectangular box with volume 1 m3 has a square base. Express the surface area of the box as a function of the length (x) of a side of the base. SA(x)=?

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Question 255228: An open rectangular box with volume 1 m3 has a square base.
Express the surface area of the box as a function of the length (x) of a side of the base.
SA(x)=?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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An open rectangular box with volume 1 m3 has a square base.
Express the surface area of the box as a function of the length (x) of a side of the base.
:
Let h = the height of the box
then
vol = x^2*h = 1 cu/m
then
h = 1%2Fx%5E2
:
Surface area of an open box
S.A. = x^2 + 4(x*h)
:
Replace h with 1%2Fx%5E2
S.A. = x^2 + 4(x*1%2Fx%5E2)
:
S.A. = x^2 + 4(1%2Fx)
:
SA(x) = x^2 + 4%2Fx