The length of the base of a box is 5 inches more than its width (w). The height of the box is 2 inches more than its width. Write an expression that represents the volume of the box.

1 answer

L = W + 5

H = W + 2

V = L * W * H

V = ( W + 5 ) * W * ( W + 2 )

V = ( W + 5 ) * ( W + 2 ) * W

V = ( W * W + 5 * W + 2 * W + 2 * 5 )

V = ( W ^ 2 + 5 W + 2 W + 10 ) * W

V = ( W ^ 2 + 7 W + 10 ) * W

V = W ^ 2 * W + 7 W * W + 10 * W

V = W ^ 3 + 7 W ^ 2 + 10 W