Skip to main content
Chapter 10 of 14
Chapter Summary

Mensuration

Telangana Board · Class 10 · Mathematics

Summary of Mensuration for Telangana Board Class 10 Mathematics. Key concepts, important points, and chapter overview.

45 questions22 flashcards5 concepts

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

Overview

Mensuration deals with measuring the surface area and volume of solid shapes. For Class 10, the main focus is on cuboid, cube, right prism, cylinder, pyramid, cone, sphere, hemisphere, and combinations of these solids. Surface area is used for painting, whitewashing, and covering objects with canvas

Key Concepts

A cuboid has length l

A cuboid has length l, breadth b, and height h. Its formulas are LSA=2h(l+b), TSA=2(lb+bh+hl), and V=lbh.

A cube has side

A cube has side a. Its formulas are LSA=4a^2, TSA=6a^2, and V=a^3.

A regular circular cylinder has radius

A regular circular cylinder has radius r and height h. Its formulas are CSA=2πrh, TSA=2πr(r+h), and V=πr^2h.

A right circular cone has radius

A right circular cone has radius r, height h, and slant height l. Its formulas are CSA=πrl, TSA=πr(l+r), and V=(1/3)πr^2h. The slant height is l=√(r^2

For a sphere of radius r

For a sphere of radius r, CSA=TSA=4πr^2 and V=(4/3)πr^3. For a hemisphere of radius r, CSA=2πr^2, TSA=3πr^2, and V=(2/3)πr^3.

Learning Objectives

  • Recall formulas for surface area and volume of common solid shapes
  • Find curved surface area and total surface area of standard solids
  • Solve problems on combined solids such as cone with hemisphere or cylinder with hemispheres
  • Understand when to use surface area and when to use volume
  • Apply the idea that volume remains the same during melting and recasting

Frequently Asked Questions

What are the important topics in Mensuration for Telangana Board Class 10 Mathematics?
Mensuration covers several key topics that are frequently asked in Telangana Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Mensuration — Telangana Board Class 10 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

For serious students

Get the full Mensuration chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Telangana Board Class 10 Mathematics.