The following exercises are geometric in nature and lead to polynomial models. Solve each problem. A rectangular
Question:
The following exercises are geometric in nature and lead to polynomial models. Solve each problem.
A rectangular piece of cardboard measuring 12 in. by 18 in. is to be made into a box with an open top by cutting equal-size squares from each corner and folding up the sides. Let x represent the length of a side of each such square in inches. Give approximations to the nearest hundredth.
(a) Give the restrictions on x.
(b) Determine a function V that gives the volume of the box as a function of x.
(c) For what value of x will the volume be a maximum? What is this maximum volume?
(d) For what values of x will the volume be greater than 80 in.3?
Step by Step Answer:
College Algebra
ISBN: 978-0134697024
12th edition
Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels