A metal sphere of radius 5cm is melted down and made into a solid cube. Find the length of a side of the cube.
Volume of the metal sphere=`(4/3)*pi*r^3`
Volume of a solid cube with length a= `a^3`
Since the volume of the metal emains same, so:
`a^3 = (4/3)*pi*5^3`
`rArr a=10root(3)(11/21)` =8.06104cm(approx.)
Therefore, the length of a side of the cube is approximately 8.06cm.