A closed box with a square base of lengths w and height of l

A closed box with a square base of lengths w and height of length h is to be constructed so that its volume is V=15ft^3

1. Express the height h of the box as a function of the width of the base w:

2. Express the surface area S as a function of the width of the box w.

Solution

Q1) The volume will be the surface area into height

The Volume will be = w^2*h

H = 15/(w^2)

Q2) Surface area will be = w^2