SOLUTION: An open rectangular box (no top) with volume 6 cubic meters has a square base. Express the surface area S of the box as a function of the length x of one of the sides.

Question 334757: An open rectangular box (no top) with volume 6 cubic meters has a square base. Express the surface area S of the box as a function of the length x of one of the sides.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
An open rectangular box (no top) with volume 6 cubic meters has a square base.
Express the surface area S of the box as a function of the length x of one of the sides.
:
Dimension of the box x by x by h
then the volume:
x^2 * h = 6
h =
Surface area (5 sides)
S.A = x^2 + 4(x*h)
S.A = x^2 + 4xh
Replace h with
S.A = x^2 + 4x*
cancel x and mult 4*6
f(x) = x^2 + ; the surface area function
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