# What dimensions will result in a box with the largest possible volume if an open rectangular box with square base is to be made from #48 ft^2# of material?

##### 1 Answer

Feb 22, 2015

The base will be

Let

Let

The surface area of the box is

From which we can determine:

The Volume of the box:

The Volume is a maximum when

Plugging this back into the formula

we get