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

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) (Show Source): You can put this solution on YOUR website!
Part 1:

Part 2:
Use Calculus for Maxima or use common sense.
For full solution contact me. Cheers!!!
RELATED QUESTIONS
An open rectangular box is to be made from a piece of cardboard 20 inches wide and 20... (answered by mananth,ikleyn)

A box with an open top is constructed from a rectangular piece of cardboard which is... (answered by ankor@dixie-net.com)

This is an application problem using polynomial equations/functions: "An open box with a (answered by greenestamps)

An open box is to be made from a piece of cardboard that measures 40 inches on each side. (answered by ikleyn)

A box with an open top is formed by cutting squares out of the corners of a rectangular... (answered by ankor@dixie-net.com)

Hi, I have hard time picturing the word problem in my head. Could you please help me... (answered by ilana)

an open-topped box is constructed from a rectangular piece of cardboard that is twice as... (answered by ikleyn,Theo)

a rectangular piece of cardboard is 4 inches longer than it is wide. From each of its... (answered by stanbon)

A rectangular box open at the top is to be from a rectangular piece of cardboard 3 inches (answered by Boreal)