assuming an open box, then
x^2 + 4xz = 426
v = x^2 z = x^2 (426-x^2)/4x
= 426x - x^3
A box with a square base is to be constructed with a surface area of 726 square centimeters.
1. Draw a diagram of the box. Label the diagram appropriately with variables.
2. Write an objective equation and a constraint equation (label each one as objective or constraint).
3. Determine the dimensions of the box with maximum volume. Be sure to show you have in fact
found a maximum. Do not forget units in your final answer.
1 answer
1 answer