If 1900 square centimeters of material are available to make a box with a square base and an open top, find the largest possible volume of the box.

Volume = cubic centimeter

Step-by-step explanation:

Let the length of each side of the base of the box  be A and the height of the box be H.

Area of material required to make the box  is equal to  is

 Rearranging the above equation, we get -  

Volume of box is equal to product of base area of box and the height of the box -  

Substituting the given area we get -

For maximum volume

Volume of the box

=

= cubic centimeter

c

step-by-step explanation: