Maximize Volume of a Box
Optimization Problem
How to maximize the volume of a box using the first derivative of the volume. Volume optimization problem with solution.
ProblemA sheet of metal 12 inches by 10 inches is to be used to make a open box. Squares of equal sides x are cut out of each corner then the sides are folded to make the box. Find the value of x that makes the volume maximum.![]() Solution to Problem 1:
More references on
calculus problems |