# An open box with a square base is required to have a volume of 10 cubic feet. What is the surface area as a function of x?

**Solution:**

As per the condition given,

V = x^{2}h

It is given that

Volume = 10 cubic feet

So substituting it

10 = x^{2}h

10/x^{2} = h

We know that surface area can be found using the formula

A = x^{2} + 4(xh)

Substituting the value of h

A = x^{2} + 4(x(10/x^{2}))

By further simplification

A = x^{2} + 4(10/x)

A = x^{2} + 40/x

Therefore, the surface area as a function of x is A = x^{2} + 40/x.

## An open box with a square base is required to have a volume of 10 cubic feet. What is the surface area as a function of x?

**Summary:**

An open box with a square base is required to have a volume of 10 cubic feet. The surface area as a function of x is A = x^{2} + 40/x.