The side of a solid metallic cube is 50 cm. It is melted and recast i…

The side of the given metallic cube = 50 cm its volume = (50)³ cm³ = 125000 cm³

Let x' cm be the side of a cubical die. Then volume of 8000 dice = 8000 × (x)³ cm³

According to the problem, the volume of 8000 cubical dice = The volume of the given solid metallic cube

⇒ 8000 × (x)³ = 125000

$⇒x=\frac{5}{2}=2.5$

Hence, the side of the cubical die is 2.5 cm