SOLUTION: A closed rectangular box has a surface area of 1440 square cm. The length of the box is twice its width and the height is six times its width. What is the volume of the box? The

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Question 861491: A closed rectangular box has a surface area of 1440 square cm. The length of the box is twice its width and the height is six times its width. What is the volume of the box?
The answer I got was 2484.65 which doesn't seem right.
2LW+2LH+2WH = 1400
(2x*x)+ (2x*6x)+ (x*6x) = 700
2x^2 + 12x^2 + 6x^2 = 700
20x^2 = 700
divide by 20
x^2 = 35cm
x= 5.916 (?) X is width
length is 2X
height is 6X
volume is L*W*H
Found 2 solutions by ewatrrr, Fombitz:
Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!

Hi,

width is X, length is 2X, height is 6X
Yes: Surface/2 = Lw + Lh + wh = 700 = 2x^2 + 12x^2 + 6x^2, x = sqrt(35)
V = Lwh = 12x^3 = = 2484.75 cm^3

Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website!
You wrote your constant wrong but other than that your solution is correct.