- 8 cm
- 4 cm
- 6 cm
- 12 cm

Option 3 : 6 cm

**Given:**

Length of the cuboid = 9 cm

Breadth of the cuboid = 6 cm

Height of the cuboid = 4 cm

**Formula Used:**

Volume of a cuboid = L × B × H

where,

L = Length of the cuboid

B = Breadth of the cuboid

H = Height of the cuboid

Volume of a cube = a^{3}

where,

a = Side of the cube

**Calculation:**

According to the question,

Metallic cuboid is melted into liquid form and then recast into a cube.

So, Volume of the cube = Volume of the cuboid

⇒ a^{3} = L × B × H

⇒ a3 = 9 × 6 × 4

⇒ a^{3} = 216

⇒ a = ∛216

⇒ a = 6 cm

**∴ The side of the cube is 6 cm.**

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