Volume of Rectangular solid from surface area

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I have a cuboid whose surface area is: $S=73.16 cm^2$.

Also, I have the separate surface areas for the specific sides of the cuboid:

  • $ab=8.41 cm^2$
  • $ac=12.96 cm^2$
  • $bc=15.21 cm^2$

How can one calculate the Volume of this cuboid?

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If you divide the first two you can solve the result for $b$, then plug into the last, giving you $c$ and you are on your way. You have three equations in three unknowns.