Saturday

December 27, 2014

December 27, 2014

Posted by **ct** on Thursday, December 22, 2011 at 7:56am.

- math -
**Reiny**, Thursday, December 22, 2011 at 8:05amlet 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

**Answer this Question**

**Related Questions**

Calculus - A square sheet of cardboard with a side 16 inches is used to make an ...

Calculus - A SHEET OF CARDBOARD 180 INCHES SQUARE IS USED to make an open box by...

Math - An open box is to be made from a 10-ft by 14-ft rectangular piece of ...

math - open top rectangular box made from 35 x 35 inch piece of sheet metal by ...

algebra - Open-top box. Thomas is going to make an open-top box by cutting equal...

Calc - You want to make a rectangular box, open at the top, by cutting the same ...

Math Wrod Problem - 1. A long strip of copper 8 inches wide is to be made into a...

Math--Please Help - A pizza box with a square base is to be made from a ...

math - A pizza box with a square base is to be made from a rectangular sheet of ...

Math - A pizza box with a square base is to be made from a rectangular sheet of ...