Question

A box with an open top is to be constructed by cutting equal-sized squares out of the corners of a 11 inch by 32 inch piece of cardboard and folding up the sides. a) Let w be the length of the sides of the cut out squares. Determine a function V that describes the volume of the finished box in terms of w. V(w)= b) What width w would maximize the volume of the box? w= inches c) What is the maximum volume? V= cubic inches

Answer 1

Explanation:

by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x. v(x).