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Chapter 13 of 13
Chapter Summary

Mensuration

Maharashtra Board · Class 10 · Mathematics

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

45 questions20 flashcards5 concepts

Overview

Mensuration is the branch of mathematics that deals with the measurement of geometric figures, including their area, volume, and surface area. This chapter builds upon your previous knowledge of 2D and 3D shapes to explore advanced concepts like frustum of cone, arc length, sector area, and segments

Key Concepts

Key formulae include

Key formulae include: Cuboid (TSA = 2(lb+bh+hl), Volume = lbh), Cube (TSA = 6l², Volume = l³), Cylinder (CSA = 2πrh, TSA = 2πr(r+h), Volume = πr²h), C

When a cone is cut parallel

When a cone is cut parallel to its base, the remaining portion is called a frustum. It has two circular bases of different radii (R and r) and height

For a circle with radius r

For a circle with radius r and central angle θ (in degrees), the length of arc = (θ/360°) × 2πr. This represents the portion of circumference correspo

A sector is the region enclosed

A sector is the region enclosed by two radii and the arc between them. Area of sector = (θ/360°) × πr², where θ is the central angle in degrees. Minor

There's a direct relationship

There's a direct relationship: Area of sector = (Arc length × Radius)/2, or A = lr/2. This provides an alternative method for calculating sector area

Learning Objectives

  • Recall and apply formulae for surface area and volume of cuboid, cube, cylinder, cone, sphere, and hemisphere
  • Understand and calculate surface area and volume of frustum of a cone
  • Calculate length of arc and area of sector of a circle
  • Find area of segments of a circle (minor and major segments)
  • Establish relationships between arc length, sector area, and circle measurements

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Frequently Asked Questions

What are the important topics in Mensuration for Maharashtra Board Class 10 Mathematics?

Mensuration covers several key topics that are frequently asked in Maharashtra Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.

Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.

Sources & Official References

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