A manufacturer designs an open-top storage crate in the shape of a rectangular prism…
MATHEMATICS · Multi-part · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
A manufacturer designs an open-top storage crate in the shape of a rectangular prism with a square base. Exactly 1200 cm2 of thin plywood is available for the four side walls and the base (no lid). The crate must use all of the material.
(1) Part (a) -- derive V(x,h)
(2) Part (b) -- eliminate one variable
(3) Part (c) -- locate and justify the maximum
(4) Part (d) -- interpret maximal volume