# How do you find the volume of the largest open box that can be made from a piece of cardboard 35 inches by 19 inches by cutting equal squares from the corners and turning up the sides?

##### 1 Answer

Apr 5, 2018

Volume of largest open box is

#### Explanation:

If we make a box from a piece of cardboard

we get a box, whose height is

Volume maximizes when

as

or

i.e.

=

and omitting negative values

and when