Mensuration questions with answers

Mensuration questions reward two things: knowing which formula applies and keeping the units straight. The set below covers plane areas, solid volumes and surface areas, and every walkthrough names the formula it used before substituting, so the page is usable as a revision sheet as well as a practice set.

How to use this set

The 15 questions below are ordered the way an exam block is rather than easiest-first: two gentle openers, then a run of medium, and a hard one every sixth question — 2 of the 15 sit in the hard band. Every question is a mensuration.

Work each question on paper before you open its solution. The walkthrough is the method itself, step for step, so reading it first turns a practice set into a reading exercise and teaches nothing. If you are stuck on the method rather than on one question, the method guide is a better place to start than the next question: Mensuration: the formulas that recur.

15 mensuration questions with answers

Every question below was generated by the same engine that mints the ComputePrep daily timed drill, and machine-checked before it reached this page — a multiple-choice question validates its own answer against its own options at generation, and ships only with a walkthrough attached. The walkthrough is the engine's own.

Where these questions come from

Most free practice for this topic is a scanned upload or a blog quiz, and neither can tell you a question has exactly one answer. That is the one thing this set can promise: it is minted, not typed. The engine behind it serves ComputePrep's daily timed drill, so the questions here are the same shape as the ones a live round would give you — and there is an unlimited supply of them, which is why this page can be regenerated rather than padded.

If you want the method rather than more questions, Mensuration: the formulas that recur covers the approach, the traps and a worked table. This page and that one deliberately answer different questions: that one is how do I solve these, this one is give me mensuration questions with the answers.

FAQ

Which mensuration formulas actually recur in bank exams?

Areas of rectangle, triangle, circle and trapezium; volumes and surface areas of cuboid, cylinder, cone and sphere. That is roughly a dozen formulas, and they cover almost every mensuration question these papers set. The remainder are usually solvable from those by decomposition.

What happens to volume when a dimension changes?

It scales by the multiplier for each dimension it touches. Doubling a sphere's radius multiplies volume by eight; doubling a cylinder's radius alone multiplies it by four. Reading which dimensions a change touches answers most of these without computing any volume at all.

How do I avoid unit mistakes here?

Convert everything to one unit before substituting, and check what the answer is asked in. A volume in cubic centimetres against options in litres is the most common trap in this family — a thousand cubic centimetres is one litre, and that factor is what the wrong options are built on.

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