Constructing a box. From a rectangular piece of cardboard having dimensions 20 inches x 30 inches, an open box is to be made by cutting out identical squares of area x^2 from each corner and turning up the sides.

(a) Show that the volume of the box is given by the function V (x) = x (20-2x) (30-2x).

(b) Find all positive values of x such that V (x) >0 ...?

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2 February, 01:59

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Cordell Blackburn · Answer 1

height=x length=20-2 (what u cut out) = 20-2x width=30-2 (what u cut out) = 30-2x so v (x) = l*w*h=x (20-2x) (30-2x) b) (0,10)