SOLUTION: how did we get this answer ( the square root of the volume ) from this question ? (( the bottom , side and front ares of a rectangular box are known . what is the product of these

Question 1055755: how did we get this answer ( the square root of the volume ) from this question ? (( the bottom , side and front ares of a rectangular box are known . what is the product of these areas ? ))
thank you ..
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
how did we get this answer ( the square root of the volume ) from this question ?
(( the bottom , side and front ares of a rectangular box are known . what is the product of these areas ? ))
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let a, b and c be the dimensions of the box.

Then the areas of the three faces are 

S1 = ab,  S2 = bc,  S3 - ac.

Then the product of the areas is 

S1*S2*S3 = ab*ac*bs =  = .

Answer. The product of these areas is the SQUARE of the volume.

Change /fix your original formulation !
It is incorrect !

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