Answer: [tex]49.79\ m[/tex]
Step-by-step explanation:
Given
The volume of the spherical solid is [tex]V=123,456\ m^3[/tex]
It is melted to form a solid cube
Suppose the edge length of the cube is [tex]a[/tex]
The volume of the sphere is [tex]\frac{4}{3}\pi r^3[/tex]
[tex]\Rightarrow 123,456=a^3\\\Rightarrow a^3=123,456\\\text{Factorising 123,456}\\\Rightarrow a^3=2^6\times 3\times 643\\\\\Rightarrow a=\sqrt[3]{2^6\times 3\times 643} \\\\\Rightarrow a=4\sqrt[3]{ 3\times 643}\\\\\Rightarrow a=49.79\ m[/tex]
