An open box is to be made from a flat piece of material 9 inches long and 6 inches wide by cutting equal squares of length x from the corners and folding up the sides.

Question

Write the volume Vof the box as a function of x. Leave it as a product of factors, do not multiply out the factors.

If we write the domain of the volume of the box as an open interval in the form (a,b), then what is a=?

Answer 1

Easy. The base of the box will be (18-2x)*(6-2x) while the height is x therefore;
V=(18-2x)*(6-2x)*x and 3>x>0 so you have a positive non-zero volume. #AsianPersuasion