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Formula Sheet

Surface Areas and Volumes

Madhya Pradesh Board · Class 10 · Mathematics

All formulas from Surface Areas and Volumes in Madhya Pradesh Board Class 10 Mathematics. Key equations, constants, and identities for board exam preparation.

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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8 Formulas · 2 Sections

Formulas

2. Surface Area of Combined Solids

TSA of new solid = CSA of one hemisphere + CSA of cylinder + CSA of other hemisphere

Total surface area of the toy = CSA of hemisphere + CSA of cone

CSA of hemisphere = 1/2(4πr²) = 2πr²

Slant height of cone: l = √(r² + h²)

CSA of cone: πrl

3. Volume of Combined Solids

volume of the cuboid + 1/2 volume of the cylinder

Apparent capacity of glass: πr²h

Volume of toy = 2/3πr³ + 1/3πr²h

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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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