The length of an equipment box is 4 times its widthIts height is 4 inches greater than The volume of the box is 1,440 cubic inchesWhat is the in inches of the Enter the correct answer in the box

Respuesta :

Answer:

W = 6

Step-by-step explanation:

L x W x H = V

L = 4W

H = W + 4

V = 1440

Plug in and solve for W.

4W x W x (W+4) = 1440

4W^2 x (W+4) = 1440

W^2 (W+4) = 360

A combo that came quickly to mind was 36 and 10 to make 360.

6^2 = 36

6 + 4 = 10

36 x 10 = 360

Therefore, W = 6.