SOLUTION: hi the areas of three faces of a rectangular box are 12 , 8 and 6. What is the volume of the box? I have calculated surface area but am unsure how to calculate this problem

Question 870292: hi
the areas of three faces of a rectangular box are 12 , 8 and 6. What is the volume of the box?
I have calculated surface area but am unsure how to calculate this problem
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
the areas of three faces of a rectangular box are 12 , 8 and 6. What is the volume of the box?
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L*W = 12
L*H = 8
H*W = 6
---
L = 12/W
L*H = 8 --> 12H/W = 8 --> W = 3H/2
----
H*W = 6
H*(3H/2) = 6
3H^2 = 12
H = 2
----
W = 3H/2 = 3
----
L = 12/W = 4
----
Vol = 2*3*4 = 24 cubic units

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