Volume of a cuboid of length (l), width (b) and height (h) is

Mathematics ·Previously asked in JKSSB Inspector 2026

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Question

Volume of a cuboid of length (l), width (b) and height (h) is

  1. A. lbh (Correct answer)
  2. B. lb + bh + hl
  3. C. 2 (l + b) h
  4. D. 2 (lb + bh + hl)

Correct Answer

Option A — lbh

Detailed Solution & Explanation

The correct answer is lbh.

Key Points

  • The volume of a cuboid is the product of its three dimensions:
    • $V = l \times b \times h$
  • Volume measures the space enclosed, so the result is in cubic units (cm³, m³) — and only the product $lbh$ has three length dimensions multiplied together.

Additional Information

  • The other options are standard cuboid formulae for different quantities:
    • $lb + bh + hl$ — half the total surface area.
    • $2(l + b)h$ — the lateral (curved) surface area, i.e. the four walls excluding top and bottom.
    • $2(lb + bh + hl)$ — the total surface area, in square units.
  • Dimensional check: surface areas are two dimensions multiplied (square units); volume is three (cubic units). This single check identifies the answer without recalling any formula.

Topics covered: Mathematics Mensuration