Problema Solution

The area of the top of a rectangular box is 324 square inches. The area of the front of the box is 135 square inches. The area of the end is 60 square inches. What is the volume of the box?

Answer provided by our tutors

let


l = the length of the box

w = the width of the box

h = the height of the box


The area of the top of a rectangular box is 324 square inches


l*w = 324


The area of the front of the box is 135 square inches


l*h = 135


The area of the end is 60 square inches


w*h = 60


the volume of the box


V = l*w*h


V^2 = l*w*l*h*w*h


V^2 = 324*135*60


V^2 = 2624400


V = 1620 in^3