box with a a square base and open top must have a volume of 62,500 cm3. Find the dimensions of the box that minimize the amount of material used. sides of base

The dimensions of box that will minimize the amount of material used is

Step-by-step explanation:

Given information

Volume

As given in question the box is of square shape:

So the volume will be

where, L is the side of the square

Hence, The dimensions of box that will minimize the amount of material used is .

For more information visit

link

Step-by-step explanation:

This problem is on the mensuration of solids, a box

we know that the volume of a box is give by the expression

now to find the dimension of the box, we need to find L

Given data

volume = .