Question

A cardboard manufacturer wishes to make open boxes from square pieces of cardboard of side 12 in. by cutting equal squares from the four corners and turning up the sides. Let x inches be the length of the side of the the square to be cut out. Express the Volume (V) of the box (in cubic inches) as a function of x.

Answer 1

v = x(12-2x)^2

Answer 2

A cardboard box manufacturer wishes to make open boxes from square pieces of
cardboard of side 12 inches by cutting equal squares from the four corners and turning
up the sides. Let x inches be the length of the sides of the square to be cut out. Express
the number of cubic inches in the volume of the box as a function of x.

Answer 3

The number of inches in the dimension of the box are x, 12 - 2x and 12 - 2x.
V (x) = 144x - 48x2 + 4x3