Solving for the volume of a tetrahedron

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Can anyone explain why I was incorrect in this problem: enter image description here

I used a tetrahedron solver online, http://rechneronline.de/pi/tetrahedron.php, and it says I have the right answer.

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Assuming that $S$ denotes the length of a side, your answer is correct. See here.

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Assuming that $S$ (or is it $S'$?) indicates side length and not surface area, you're correct.