# You have a open box that is made from a 16 in. x30 in. piece of cardboard. When you cut out the squares of equal size from the 4 corners and bending it. What size should the squares be to get this box to work with the largest volume?

##### 1 Answer

**inches to be cut from** **corners and bend to get
box for maximum volume of**

**cubic inches.**

#### Explanation:

Card board size is

Let

a box whos size is now

inches. Volume of the box is

inches.

For maximum value

or

Slope test may be examined at

volume is maximum.

is from positive to negative , so the volume is maximum.

The maximum volume is