Question

An open rectangular box with a square bottom must have a surface area of a square inches. Write a formula for the volume of the box as a function of x. Your answer will also include the constant

Answer 1

Answer:

Step-by-step explanation:

I think your question is missed of attach the photo of the box, allow me to add in and hope it will fit the original one

Here is my answer:

Let A is the surface area of the box

As we know that the surface area will be the sum of the four rectangular sides' areas and the base area (because this box is opened)

• Base area = x²

• Rectangular side area = xh

A = x² + 4xh

<=> (A - x²)/4x = h

and the volume formula is:

V = x²h

Substitute h from the formula of A to the formula of the Volume, we have:

V = (x²) * (A - x²)/4x

V = (Ax - x³)/4

Hope it will find you well.