Posted by Sejul on Monday, October 10, 2011 at 2:35pm.
open top rectangular box made from 35 x 35 inch piece of sheet metal by cutting out equal size squares from the corners and folding up the sides. what size squares should be removed to produce box with maximum volume.

math  bobpursley, Monday, October 10, 2011 at 3:30pm
volume= l*w*h
2h+w=35 or w=352h
2h+l=35 or l= 352h
volume= (352h)(352h)h
dV/dh= 2(352h)(2)h+ (352h)^2 =0
4h=352h
6h=35
solve for h, then the cut squares are hxh.

math  Steve, Monday, October 10, 2011 at 3:35pm
hen the corners of size x are cut out, the dimensions of the box are
352x and 352x and x, and the volume is thus
v = (352x)(352x)x
= 1225x  140x^2 + 4x^3
dv/dx = 1225 280x + 12x^2
dv/dx = 0 when x = 5.83333

calculus  lulu, Friday, November 18, 2011 at 1:29am
an open box is to be made from a piece of metal 16 by 30 inches by cutting out squares of equal size from the corners and bending up the sides. what size should be cut out to create a box with the greatest volume? what is the maximum volume?
Answer This Question
Related Questions
 Math  An open box is to be made from a 10ft by 14ft rectangular piece of ...
 Math  A box with a rectangular base and no top is to be made from a 9 inch by ...
 calculus  An open box is to be made from a 21 ft by 56 ft rectangular piece of ...
 math  a rectangular sheet of cardboard 4m by 2m is used to make an open box by ...
 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...
 Calc  a box with an open top is to be made from a rectangular piece of tin by ...
 calculus  an open box is to be made from a piece of metal 16 by 30 inches by ...
 algebra  Opentop box. Thomas is going to make an opentop box by cutting equal...
 College Math  An opentopped rectangular box is to be constructed from a 24 ...
More Related Questions