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

Question 1044200: What is the volume of a rectangular box if three of its faces have areas of 30,70 and 84.
I tried a lot of methods, but I am hopelessly confused.
Answer by reviewermath(1029) (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)

Get the square root of both sides.
LWH = = 420
Therefore, the volume of the box is cubic units.
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