Answer:
The length of the cube is 170 mm
Explanation:
Volume of Solids
The volume of a cube of length a is:

The shot put ball is spherical with a volume of 4,913,000 cubic millimeters. The ball is melted and converted into a cube, thus we have the volume of the cube.
Let's solve the equation of the volume of the cube for a:
![a=\sqrt[3]{V_c}](https://img.qammunity.org/2021/formulas/mathematics/high-school/4laswjzz7644sfr8bh0uhjd7ijcgv2ql8r.png)
![a=\sqrt[3]{4,913,000}=170\ mm](https://img.qammunity.org/2021/formulas/mathematics/high-school/7uf3dob8scm252al1bpsrza3nk1lo48rfl.png)
The length of the cube is 170 mm