Question 1028361
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If diagonal of a cube is 12 cm then volume is in cubic cms?
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<pre>
If a cube has the edge of the length "a", its diagonal (a true "3D diagonal") has the length {{{a*sqrt(3)}}}.

So, you are given {{{a*sqrt(3)}}} = {{{12}}}.

Then a = {{{12/sqrt(3)}}},

and the volume is {{{a^3}}} = {{{(12/sqrt(3))^3}}} = {{{(12*12*12)/(3*sqrt(3))}}} = {{{(12*12*4)/sqrt(3)}}} = {{{(12*12*4*sqrt(3))/3}}} = {{{12*4*4*sqrt(3)}}} = {{{192*sqrt(3)}}} {{{cm^3}}}.
</pre>