SOLUTION: An open rectangular box with volume 2m^3 has a square base. Express the surface area of the box as a function of the length of a side of the base.

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Question 344411: An open rectangular box with volume 2m^3 has a square base. Express the surface area of the box as a function of the length of a side of the base.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the lenth of a side of the base
volume+=+2m%5E%283%29=+x%5E%282%29%2Ah (V=lwh for a rectangular solid)
h=2m/x^2
Surface Area in general for a rectangular solid is:
2lw+2lh+2wh
Your question states this is an "open" rectangular Box with square base:
Thus: surface Area for the open box would be:
A= x*x+2x(h)+2x(h)
Substitute for h