The side of a solid metallic cube is 50 cm. It is melted and recast into 8000 similar solid cubical dice. Find the side of each die.

2.5 cm

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