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Syllabus

Surface Areas and Volumes — Syllabus

Madhya Pradesh Board · Class 10 · Mathematics

What Surface Areas and Volumes covers in Madhya Pradesh Board Class 10 Mathematics: 3 topics, for the 2026-27 session.

136 questions48 flashcards8 formulas & key relations5 concepts

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An illustration showing common 3D geometric shapes (cuboid, cone, cylinder, sphere, hemisphere) and examples of real-world objects formed by combining these basic shapes, such as a truck container (cy
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3 Topics · Madhya Pradesh Board Class 10 Mathematics · 2026-27

Topics in Surface Areas and Volumes

1

1. Basic Ideas and Surface Area of Combined Solids

  • Basic solids familiar from Class IX are cuboid, cone, cylinder, and sphere.
  • TSA and CSA stand for Total Surface Area and Curved Surface Area.
  • When two solids are joined, some surface area disappears at the joint.
2

2. Worked Surface Area Examples to Remember

  • Rasheed's top is a cone surmounted by a hemisphere.
  • The height of the cone = total height of the top – radius of hemispherical part.
  • In Example 1, the surface area of Rasheed's top is 39.6 cm^2 approximately.
3

3. Volume of Combination of Solids

  • For volumes, the volume of the solid formed by joining two basic solids is the sum of the volumes of the constituents.
  • This rule is different from surface area, where some parts disappear at the joint.
  • Shanta's shed is a cuboid surmounted by a half cylinder.

Key Concepts

Central concept: Combination of solids: finding surface areas and volumes of composite 3D shapes

Basic solidsSurface area of combinationsVolume of combinationsKey formulasWorked examplesCommon mistakes

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Frequently Asked Questions

What are the important topics in Surface Areas and Volumes for Madhya Pradesh Board Class 10 Mathematics?
Key topics in Surface Areas and Volumes include Basic Ideas and Surface Area of Combined Solids, Worked Surface Area Examples to Remember, Volume of Combination of Solids. Study these first, then practise questions on each for the Madhya Pradesh Board Class 10 board exam.
How should I revise Surface Areas and Volumes for the Madhya Pradesh Board Class 10 board exam?
Learn the core ideas first, then work through the 136 practice questions on Surface Areas and Volumes. Revise 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.

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All Madhya Pradesh Board Class 10 Mathematics Syllabus

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