Question

Please help in this one​

Answer 1

Answer: $49.79\ m$

Step-by-step explanation:

Given

The volume of the spherical solid is $V=123,456\ m^3$

It is melted to form a solid cube

Suppose the edge length of the cube is $a$

The volume of the sphere is  $\frac{4}{3}\pi r^3$

$\Rightarrow 123,456=a^3\\\Rightarrow a^3=123,456\\\text{Factorising 123,456}\\\Rightarrow a^3=2^6\times 3\times 643\\\\\Rightarrow a=\sqrt[3]{2^6\times 3\times 643} \\\\\Rightarrow a=4\sqrt[3]{ 3\times 643}\\\\\Rightarrow a=49.79\ m$