Mensuration — Class 8 MCQs with Answers
Class 8 CBSE Mathematics · Chapter 109
Pre-2026 syllabusThis chapter is from the older NCERT book. See the 2026-27 Class 8 Mathematics chapters →
72 practice questions · 24 Easy · 24 Medium · 24 Hard · Updated
Practise the most important Class 8 CBSE Mathematics questions from Chapter 109, "Mensuration". You get 9 timed quizzes made from 72 NCERT-based MCQs, with answers and explanations. The questions are split into 24 Easy, 24 Medium and 24 Hard. Warm up on the basics, then move on to the exam-level questions that set top scorers in CBSE Board exams apart.
To score well in "Mensuration", focus on fast problem-solving, formula recall and step-by-step working. Each MCQ here is timed and uses exam-style marking (+4 correct, −1 wrong, 0 skipped). This trains you to stay accurate under time pressure, as real papers need. Every question has a short explanation, so a wrong answer becomes a quick lesson. It is the fastest way to fix gaps before a test.
Use this chapter for focused revision. Start with the Easy set to check your basics on Mensuration, then move to Medium and Hard to practise applying them. Your accuracy, streaks and XP save automatically. This chapter also adds to your overall Class 8 Mathematics mastery score. 14 sample questions are solved in full below, with the answer and a worked explanation. Sign in free to start practising.
Key concepts: Mensuration (Class 8 Mathematics)
This chapter covers the area of plane figures (trapezium, quadrilateral, polygon) and the surface area and volume of solids (cuboid, cube, cylinder).
- Area of a trapezium
- Area = ½ × (sum of parallel sides) × height.
- Area of quadrilateral/polygon
- Found by splitting the figure into triangles using a diagonal and adding their areas.
- Surface area
- The total area of all faces of a solid; lateral surface area excludes the top and bottom.
- Volume
- The space occupied by a solid, measured in cubic units; 1 m³ = 1000 L.
Mensuration — important questions & MCQs with answers (Class 8 Mathematics)
14 solved questions from this chapter's difficulty levels, each with its answer and explanation. The other 58 are timed and scored when you sign in.
- Q1Easy
Area of rectangle (l, b):
A.l + bB.2(l+b)C.l × b✓ CorrectD.l/bAnswer: C. l × b
Explanation: Length × breadth.
- Q2Easy
Volume of cube of side a:
A.4aB.6a²C.a²D.a³✓ CorrectAnswer: D. a³
Explanation: Cube volume.
- Q3Easy
Find the area of a trapezium whose parallel sides are 12 cm and 8 cm and the distance between them is 5 cm.
A.50 cm²✓ CorrectB.100 cm²C.60 cm²D.40 cm²Answer: A. 50 cm²
Explanation: Area = ½(12 + 8) × 5 = ½ × 20 × 5 = 50 cm².
- Q4Easy
Find the volume of a cuboid of dimensions 10 cm × 5 cm × 4 cm.
A.220 cm³B.100 cm³C.19 cm³D.200 cm³✓ CorrectAnswer: D. 200 cm³
Explanation: Volume = l × b × h = 10 × 5 × 4 = 200 cm³.
- Q5Easy
The diagonals of a rhombus are 10 cm and 16 cm. What is its area?
A.160 cm²B.80 cm²✓ CorrectC.40 cm²D.26 cm²Answer: B. 80 cm²
Explanation: Area = ½ × d₁ × d₂ = ½ × 10 × 16 = 80 cm².
- Q6Easy
Find the volume of a cube of edge 7 cm.
A.294 cm³B.49 cm³C.343 cm³✓ CorrectD.21 cm³Answer: C. 343 cm³
Explanation: Volume = a³ = 7³ = 343 cm³.
- Q7Medium
Area of trapezium (parallel sides a, b; height h):
A.(a−b)hB.abhC.½abD.½(a+b)h✓ CorrectAnswer: D. ½(a+b)h
Explanation: Standard formula.
- Q8Medium
Volume of cylinder (r, h):
A.πr²B.2πrhC.πr²h✓ CorrectD.4/3 πr³Answer: C. πr²h
Explanation: Base area × height.
- Q9Medium
A regular hexagon is split into 6 identical triangles, each of area 12 cm². What is the area of the hexagon?
A.84 cm²B.72 cm²✓ CorrectC.36 cm²D.60 cm²Answer: B. 72 cm²
Explanation: Total area = 6 × 12 = 72 cm².
- Q10Medium
Find the volume of a cylinder of radius 7 cm and height 10 cm. (π = 22/7)
A.220 cm³B.1540 cm³✓ CorrectC.770 cm³D.440 cm³Answer: B. 1540 cm³
Explanation: Volume = (22/7) × 7² × 10 = 154 × 10 = 1540 cm³.
- Q11Medium
A quadrilateral has one diagonal 24 cm. The perpendiculars from the opposite vertices to it are 8 cm and 6 cm. Find its area.
A.288 cm²B.336 cm²C.84 cm²D.168 cm²✓ CorrectAnswer: D. 168 cm²
Explanation: Area = ½ × d × (h₁ + h₂) = ½ × 24 × (8 + 6) = 168 cm².
- Q12Hard
Area of circle (r=7, π=22/7):
A.49B.154✓ CorrectC.22D.77Answer: B. 154
Explanation: πr² = (22/7)·49 = 154.
- Q13Hard
Total surface area of cube of side a:
A.6a²✓ CorrectB.a²C.4a²D.a³Answer: A. 6a²
Explanation: 6 faces of area a².
- Q14Hard
A trapezium-shaped plot has parallel sides 40 m and 30 m and height 20 m. Find the cost of levelling it at ₹5 per m².
A.₹7000B.₹3500✓ CorrectC.₹700D.₹2100Answer: B. ₹3500
Explanation: Area = ½(40 + 30) × 20 = 700 m²; cost = 700 × 5 = ₹3500.
Start this chapter free
You have 14 solved above. Sign in with Google (no card needed). You get 1 Easy + 1 Medium quiz on every chapter during your 30-day trial. After that, you keep 1 Easy quiz on every chapter, free for good, plus the full key-concept notes, formulas & exam tips.
This chapter has 72 questions (24 Easy · 24 Medium · 24 Hard), with timed scoring and instant feedback. The rest unlock with the ₹999/year plan.
Start this chapter free →Mensuration — FAQs
What are the key concepts in Class 8 Mathematics Mensuration?+
This chapter covers the area of plane figures (trapezium, quadrilateral, polygon) and the surface area and volume of solids (cuboid, cube, cylinder). Key ideas include Area of a trapezium, Area of quadrilateral/polygon, Surface area, Volume.
What does Class 8 Mathematics Chapter 109 (Mensuration) cover on XamBaaz?+
It has 72 NCERT-based MCQs on "Mensuration": 24 Easy, 24 Medium and 24 Hard. Together they make 9 timed quizzes, and you never get the same set twice. Every question has an instant explanation. They help you prepare for CBSE Board exams.
Are these "Mensuration" questions free to practise?+
Yes. Sign in with Google to practise "Mensuration" free. Full unlimited access is ₹999/year on a launch offer until 1 December 2026. No chapter is charged separately.
How should I revise "Mensuration" for the exam?+
Start with the Easy quiz to check your basics, then try Medium and Hard to practise applying them. There are 9 timed quizzes on this chapter, so you can come back for a fresh set instead of one you have seen. Read each explanation, retry the questions you miss, and track your accuracy until it stays high.
Are these "Mensuration" MCQs available with answers?+
Yes. 14 sample questions are shown here in full, each with the correct option and a step-by-step "Why" explanation. Sign in free with Google to start practising, with instant scoring.
Is there negative marking in the "Mensuration" quizzes?+
Yes. The timed quizzes use exam-style marking: +4 for a right answer, −1 for a wrong one and 0 for a skip. MHT-CET and CBSE board papers have no negative marking. Our mocks for those are scored their way.
What are the important questions from Mensuration (Class 8 Mathematics)?+
The questions that matter most test Area of a trapezium, Area of quadrilateral/polygon, Surface area, Volume. This page shows 14 solved important MCQs with answers and explanations; all 72 questions on the chapter are available as timed quizzes once you sign in.
Is there an online quiz for Mensuration?+
Yes — Class 8 Mathematics Mensuration has timed online quizzes at Easy, Medium and Hard levels, with instant scoring and a worked explanation on every question. The first quiz on the chapter is free.