The height of a box that bill is shipping is 4 inches less than the width of the box. the length is 10 inches more than twice the width. the volume of the box is 264 cubic inches. what are the dimensions of the box?

This is the concept of algebra, let the width be x

height=x-4

length=2x+10

the volume of the box is:

volume=length*width*height

=x (x-4) (2x+10)

expanding the above we get:

(x^2-4x) (2x+10)

=x^2 (2x+10) - 4x (2x+10)

=2x^3+2x^2-40x=264

solving the above we get real solution will be

x=6

thus we conclude that the width is x=6 inches

length=2*6+10=22 inches

height=x-4=6-4=2 inches

thus the dimension will be:

width=6 inches, length=22 inches, height=2 inches