Posted by Oswaldo on Tuesday, October 19, 2010 at 11:01am.
If x represents the side of each of the 4 little squares cut from the corners, then the dimensions of the box would be (180-2x), (180-2x) and x.
Volume,
V(x)=x(180-2x)²
Find V'(x)=dV(x)/dx and equate to zero. Solve for x. Retain only positive root, x0.
To make sure the value of x is maximum, Find V"(x)=d²V(x)/dx² and evaluate V"(x0).
If V"(x0)<0, V(x0) is at its maximum.
Post your answer for a check if you wish.
180
Related Questions
Calculus - A square sheet of cardboard with a side 16 inches is used to make an ...
algebra - Open-top box. Thomas is going to make an open-top box by cutting equal...
math - a rectangular sheet of cardboard 4m by 2m is used to make an open box by ...
Math Wrod Problem - 1. A long strip of copper 8 inches wide is to be made into a...
Calculus - A box with an open top is to be made from a square piece of cardboard...
Math - A cardboard manufacturer wishes to make open boxes from square pieces of ...
algebra 2 - you can make an open box from a piece of flat cardboard. First cut ...
calculus - An open box of maximum volume is to be made from a square piece of ...
Math--Please Help - A pizza box with a square base is to be made from a ...
Calculus - A manufacturer constructs open boxes from sheets of cardboard that ...
For Further Reading
