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A solid block of wax measuring 18 cm × 12 cm × 8 cm is melted and recast as a single cube. Find the edge of that cube.

Class 8MensurationMensuration
  • A1728 cm
  • B576 cm
  • C24 cm
  • D12 cm

Step-by-Step Solution

Melting keeps the volume the same: . For the cube, → cm . Trap 1728 cm: reporting the volume as if it were a length. Trap 576 cm: dividing 1728 by 3 instead of taking the cube root. Trap 24 cm: doubling the correct edge.
Answer: D) 12 cm

Key idea: Volume of a cuboid

**Volume = length × breadth × height = .**

For a cube: .

Units: if are in cm, is in . If in is in . **Always check units before computing.** Mixing and cm gives nonsense.

Example: cuboid cm. . Cube of side 7 cm: .

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