If 1900 square centimeters of material is available to make a box with a square base and an open top, find the?
If 1900 square centimeters of material is available to make a box with a square base and a roof, find the largest possible volume of the box. Volume = ____ inches cu.
S = 900 = x ^ 2 +4 x * y (1) V = x ^ 2 * y from y = 1 (900-x ^ 2) / 4x if V = 1 / 4 x (900-x ^ 2) = 1 / 4 (-x ^ 3 x 900) V '= 1 / 4 (-3x ^ 2 900) = 0 if x ^ 2 = 300 x = 10 * y = sqrt3 (600) / 5sqrt3 if 40sqrt3 = V = 300 * 5 * sqrt3 = 1,500 sqrt3 cm ^ 3
Britain’s love for open top driving – Clarkson’s Car Years – BBC
