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Formula Sheet

Surface Areas and Volumes — Formula Sheet

Jammu & Kashmir Board · Class 10 · Mathematics

8 formulas from Surface Areas and Volumes (Jammu & Kashmir Board Class 10 Mathematics) on one page, grouped by topic.

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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8 Entries · 2 Sections

Formulas and Key Relations

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 Jammu & Kashmir 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 Jammu & Kashmir Board Class 10 board exam.
How many formulas are in Surface Areas and Volumes?
This sheet lists 8 formulas from Surface Areas and Volumes, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Surface Areas and Volumes for the Jammu & Kashmir 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 Jammu & Kashmir Board Class 10 Mathematics Formula Sheet

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