Surface area of a cuboid — Mensuration Aptitude Question
Surface area of a cuboid: What is the total surface area of a cuboid measuring 10 cm × 6 cm × 4 cm? Answer and worked solution on CodeKairo.
- Topic: Mensuration
- Section: Quantitative Aptitude
- Difficulty: Medium
- Time target: 60 seconds
Question
What is the total surface area of a cuboid measuring 10 cm × 6 cm × 4 cm?
Options
- 188 cm²
- 228 cm²
- 248 cm²
- 268 cm²
Show the answer and the worked solution
Correct answer: C. 248 cm²
Worked solution
- lb + bh + hl = 60 + 24 + 40 = 124.
- Surface area = 2 × 124 = 248 cm².
Answer: 248 cm².
The idea
Three distinct faces, each appearing twice. Compute the three products, add, then double.
Shortcut. Group it as top and bottom plus the band of walls: 2 × 60 + 2 × 4 × (10 + 6) = 120 + 128 = 248.
Common trap. 188 cm² — leaving out one 10 × 6 face, as for an open box; a closed cuboid has all six faces.