A rectangular box open at the is to form a rectangular piece of cardboard which is 3m*8m.what size of square should be cut from each corner to form the box with maximum volume?

Answer 1

v = x(3-2x)(8-2x) = 4x^3-22x^2+24x
dv/dx = 12x^2 - 44x + 24 = 4(3x^2 - 11x + 6)
so, where does dv/dx = 0?

Answer 2

Exalient