Confirm analytically your estimates using your graphics calculator

A tent in the shape of a pyramid with a square base is to be constructed from a square piece of material of side 5m. In the base of the pyramid, let x meters be the distance from the center to a side. See the figure.

a.) On your graphics calculator, find accurate to the nearest one hundredth of a meter the value of x for which the volume is of a pyramid is a maximum.

$\displaystyle V = \frac{1}{3}Bh$