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Cool question !

Answer - half it then cube it

to prove it - an example for you

if cube diagonal (not square diagonal) is 100,

then using pythagoras theorm the square diagonal = 70.71068,

If square the square diagonal = 70.71068,

then using pythagoras theorm the side length = 50

therefore the volume = 50 ^ 3 = 25000 units

works with any numbers

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Q: How do you find the volume of a cubical box when diagonal is given?
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