An open -top box is to be made by cutting small congruent squares from the corners of a 12-by12-in. sheet of tin and bending up the sides. How large should the squares cut from the corners be to make the box hold as much as possible?
1 Answer
Apr 27, 2015
If the squares cut from the corners are
The open-top box will have
a height of
a width of
and a length of
So it's volume will be
Critical points occur when the derivative (
Therefore the maximum volume is achieved by by cutting out squares that are