Mensuration
ICSE · Class 10 · Mathematics
Summary of Mensuration for ICSE Class 10 Mathematics. Key concepts, important points, and chapter overview.
Interactive on Super Tutor
Studying Mensuration? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for chapter summary and more.
1,000+ Class 10 students started this chapter today
This is just one of 7+ visuals inside Super Tutor's Mensuration chapter
Explore the full setOverview
Mensuration deals with the measurement of surface area and volume of solids. The main solids covered are the right circular cylinder, right circular cone, sphere, hemisphere, spherical shell, hemispherical shell, hollow cylinder, and capsule. Combination solids are also included, while frustum probl
Key Concepts
A cylinder is formed when
A cylinder is formed when a rectangle is revolved about one of its sides as axis. The side about which it revolves is the height, and the generating l
A hollow cylinder has an external
A hollow cylinder has an external radius R, an internal radius r, and height h. The volume of material is \pi h(R^{2}-r^{2}), curved surface is 2 \pi
A cone is formed by revolving
A cone is formed by revolving a right-angled triangle about one of the sides containing the right angle. The radius of the base is r, the height is h,
A sphere is formed when
A sphere is formed when a circle is revolved about its diameter. It is also defined as a solid bounded by a closed surface with all points at constant
A hemisphere is half of
A hemisphere is half of a sphere, formed when a plane through the centre divides the sphere into two equal parts. Its volume is \frac{2}{3} \pi r^{3}.
Learning Objectives
- Find curved surface area, total surface area, and volume of a cylinder, cone, sphere, hemisphere, spherical shell, hemispherical shell, and hollow cylinder.
- Use the standard formulas for three-dimensional solids correctly in numerical problems.
- Understand how combination solids such as capsule, tent, and dome are formed.
- Solve application problems involving inner volume, outer volume, cost, and melting and recasting.
- Avoid common errors in using surface area and volume formulas.
Frequently Asked Questions
What are the important topics in Mensuration for ICSE Class 10 Mathematics?
How to score full marks in Mensuration — ICSE Class 10 Mathematics?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Mensuration
Practice Quiz
Test yourself with a quick quiz
Important Questions
Practice with board exam-style questions
Revision Notes
Key points for last-minute revision
Formula Sheet
All formulas in one place
Concept Maps
See how topics connect visually
Study Plan
Step-by-step plan to ace this chapter
Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
NCERT Solutions
Every textbook question solved step by step
For serious students
Get the full Mensuration chapter — for free.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for ICSE Class 10 Mathematics.