SOLUTION: A box is 720 cubic centimeters. The height of the box is five centimeters and width is w centimeters. If the length of the box is four times the width, what will be the width in

Algebra ->  Rectangles -> SOLUTION: A box is 720 cubic centimeters. The height of the box is five centimeters and width is w centimeters. If the length of the box is four times the width, what will be the width in       Log On


   

Question 267275: A box is 720 cubic centimeters. The height of the box is five centimeters and width is w centimeters. If the length of the box is four times the width, what will be the width in cnetimeters of the box?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A box is 720 cubic centimeters.
The height of the box is five centimeters and width is w centimeters.
If the length of the box is four times the width,
what will be the width in centimeters of the box?
:
The volume equation
L * W * H = 750
:
L * W * 5 = 750
:
5LW = 750
LW = 750%2F5
LW = 150
:
"the length of the box is four times the width"
L = 4W
:
Replace L with 4W
W*4W = 150
4W^2 = 150
W^2 = 150%2F4
W^2 = 37.5
W = sqrt%2837.5%29
W = 6.1237 cm is the width
:
:
See if that is true, check on a calc:
4(6.1237) * 6.1237 * 5 = 749.997 ~ 750