Question 1174181
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<pre>

The volume of the sphere is  {{{(4/3)*pi*r^3}}} = {{{(4/3)*3.14159*5^3}}} = 523.5983 cm^3.


It MUST be equal to the volume of a cube  


    {{{a^3}}} = 523.5983  cm^3.


Hence,   a = {{{root(3, 523.5983)}}} = 8.06 cm   (rounded).    <U>ANSWER</U>
</pre>

Solved.


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In your post, you mentioned about some doubts.


It should be no any doubts when solving so simple problem . . .