The volume of a box is 384 cubic inches. the hieght of the box is 4 inches and the length of the box is 4 inches longer than its width. what are the dimensions of the box?

The dimensions are height=4 inches, width=8 inches and lenght=12 inches.

Step-by-step explanation:

The volumen of a box is:

we don't know the width so let's assume it as x.

that gives us a cuadratic equation:

let's rerrangage it:

∞

we can obtain the value of x using the quadratic formula:

that formula gave us two results:

we have to take te possitive number, so the width is 8 inches and the length is 8+4=12 inches

height=4 inches

width=8 inches

lenght=12 inches

Volume=4*8*12=384 cubic inches.