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A cube of edge 6 cm and a cuboid with a 4 cm × 3 cm base hold exactly the same volume. Find the height of the cuboid.

Class 8MensurationMensuration
  • A3 cm
  • B18 cm
  • C6 cm
  • D12 cm

Step-by-Step Solution

Cube volume = . Cuboid base area = , so height = 216 ÷ 12 = 18 cm. Trap 3 cm: squaring the edge instead of cubing it (36 ÷ 12). Trap 6 cm: assuming the cuboid must be as tall as the cube. Trap 12 cm: dividing 216 by 18 — the base area and the answer have been swapped.
Answer: B) 18 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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