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
- A. lbh (Correct answer)
- B. lb + bh + hl
- C. 2 (l + b) h
- 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