SOLUTION: What is the volume of a rectangular box if three of its faces have areas of 30,70 and 84? I tried, but am confused.

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Question 1044201: What is the volume of a rectangular box if three of its faces have areas of 30,70 and 84?
I tried, but am confused.
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Q:
What is the volume of a rectangular box if three of its faces have areas of 30,70 and 84?
Solution:
Let L, W, and H be the length, width, and height respectively of the rectangular box.
LW = 30
LH = 70 and
HW = 84
Multiply the 3 equations
(LW)(LH)(HW) = (30)(70)(84)
%28LWH%29%5E2+=+176400
Get the square root of both sides.
LWH = sqrt%28176400%29 = 420
Therefore, the volume of the box is highlight%28420%29 cubic units.