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Surface Areas and Volumes

Madhya Pradesh Board · Class 10 · Mathematics

Quick revision notes for Surface Areas and Volumes — Madhya Pradesh Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

136 questions48 flashcards5 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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Key Topics to Revise

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.

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Full Notes

Key Concepts

The curved surface area ofWhen solids are joinedFor a toy formed byFor a cube with a hemisphereA cone mounted on a cylinder

Frequently Asked Questions

What are the important topics in Surface Areas and Volumes for Madhya Pradesh Board Class 10 Mathematics?
Surface Areas and Volumes covers several key topics that are frequently asked in Madhya Pradesh 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 Surface Areas and Volumes — Madhya Pradesh Board Class 10 Mathematics?
Understand the core concepts first, then work through the 136 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.

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