Optimisation Problem 3

An open box is made from cutting congruent squares from the corners of a 4m by 4m cardboard sheet. How large should the squares be so that the box has a maximum volume? What is the maximum capacity of the box?[br]

0.67 [math]m^2[/math][br] 4 [math]m^2[/math] 2 [math]m^2[/math][br] 4.74 [math]m^2[/math]

Oxford IB Diploma Programme Mathematics Companion - Page 216 Example 39

Information: Optimisation Problem 3