Posted by ct on Thursday, December 22, 2011 at 7:56am.
let each cut of be x m
so the base is 4-2x by 2-2x
and the height is x
V = x(4-2x)(2-2x)
= 8x -12x^2 + 4x^3
d(V)/dx = 8 - 24x + 12x^2 = 0 for a max V
3x^2 - 6x + 2 = 0
x = (6 ± √12)/6
= .42 or 1.57 , but the latter would make the width negative so we will reject it
the cut-out squares should each be .42m by .42 m
or 42 by 42 cm
Related Questions
Calculus - A SHEET OF CARDBOARD 180 INCHES SQUARE IS USED to make an open box by...
Math--Please Help - A pizza box with a square base is to be made from a ...
math volume - a rectangular sheet of cardboard size 5' by 8' is to be ...
Maths - Algebra - Boxes are made by cutting 8cm squares from the corners of ...
Math Wrod Problem - 1. A long strip of copper 8 inches wide is to be made into a...
math - A cardboard box manufacturer wishes to make open boxes from rectangular ...
Math Please Help - A pizza box top with a square base is to be made from a ...
calculus - 7. A cardboard box manufacturer wishes to make open boxes from ...
calc - by cutting away identical squares from each corner of a rectangular piece...
Math - Please help I have no Idea what to do here. A box with an open top is to ...
For Further Reading
