Question

A cuboid with dimensions 12 cm × 9 cm × 2 cm is made of a metal. It is melted and recast into a solid cube. The edge of the cube is ______.

विकल्प

• 6 cm

• 12 cm

• 15 cm

• 8 cm

Answer 1

A cuboid with dimensions 12 cm × 9 cm × 2 cm is made of a metal. It is melted and recast into a solid cube. The edge of the cube is 6 cm.

Explanation:

The volume of the cuboid is 12 cm × 9 cm × 2 cm = 216 cm. Since it is recast into a solid cube, the volume of the cube is also 216 cm³. The edge of the cube is \[\sqrt[3]{216} = 6\text{ cm}\].