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 centimeters of the box?
:
The volume equation
L * W * H = 750
:
L * W * 5 = 750
:
5LW = 750
LW = {{{750/5}}}
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 = {{{150/4}}}
W^2 = 37.5
W = {{{sqrt(37.5)}}}
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