SOLUTION: Help with this word problem? An open rectangular box is to be made from a piece of cardboard 20 inches wide and 20 inches long by cutting a square from each corner and bending

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Question 839019: Help with this word problem?
An open rectangular box is to be made from a piece of cardboard 20 inches wide and 20 inches long by cutting a square from each corner and bending up the sides.
(a) Express the volume V of the box as a function of the size x of the cutout.
V(x)= __in^3?

(b) Approximate the dimensions of the box with the largest volume. (Round your answers to one decimal place.)
height , width , length. What formula do I use? Steps on how to do it would be appreciated, Thank you.

Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
Part 1:
V%28x%29=4x%2810-x%29%5E2
Part 2:
Use Calculus for Maxima or use common sense.
For full solution contact me. Cheers!!!