Posted by Jen on Saturday, January 9, 2010 at 5:50pm.
An open box is formed from an 80cm by 80cm peice of metal by cutting four identical squares from the corners and folding up the sides. Express the volume of the box in terms of x. Then describe how you could find the maximum possible volume.

Pre Cal  Marth, Saturday, January 9, 2010 at 6:16pm
The height of the box becomes x, and each side is reduced by 2x. Therefore the volume is given by V = x(802x)(802x) because the original length and width are both 80.

Pre Cal  Anonymous, Wednesday, March 30, 2011 at 10:16pm
40

Cal  Tanzeel, Tuesday, October 11, 2011 at 12:22pm
An open box is to be made from a flat piece of material 11 inches long and 5 inches wide by cutting equal squares of length x from the corners and folding up the sides.
Write the volume Vof the box as a function of x. Leave it as a product of factors, do not multiply out the factors.
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