If 4,800 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Step 1

Step-by-step explanation:

b = Length and breadth of base

h = Height of box

Surface area of box =

Volume is given by

Surface area is given by area of base plus the area of the four sides

Differentiating with respect to the base dimensions we get

Equating with 0

Finding the double derative

at

So, the maximum value of b is 40 cm

Volume is given by

The largest possible volume of the box is