Question

The side of a solid metallic cube is $35$ cm. The cube is melted and recast into $1000$ equal solid dice. Determine the side of the dice.

• A. $3.5$ cm
• B. $6.5$ cm
• C. $8.5$ cm
• D. $1.5$ cm

Answer 1

The correct option is A $3.5$ cm

Volume of the sold metallic cube $=1000\times$ Volume of each dice
Volume of a cube$=a^3$
Let the length of the side of the dice be $a$ cm
Hence, ${35}^3=1000\times a^3$
$a=3.5cm$