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Chapter 21 of 26
Formula Sheet

Surface Areas And Volumes Of Solid Figures

NIOS · Class 10 · Maths

All formulas from Surface Areas And Volumes Of Solid Figures in NIOS Class 10 Maths. Key equations, constants, and identities for board exam preparation.

34 questions30 flashcards5 concepts

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An illustration showing common objects and their corresponding 3D geometric shapes (cuboid, cube, cylinder, cone, sphere, hemisphere).
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12 Formulas · 3 Sections

Formulas

Cuboid and Cube

Surface area of cuboid = 2(lb + bh + hl)

Volume of cuboid = lbh

Diagonal of cuboid = sqrt(l^2 + b^2 + h^2)

Surface area of cube = 6a^2

Volume of cube = a^3

Cylinder

Curved surface area of cylinder = 2πrh

Total surface area of cylinder = 2πrh + 2πr^2 = 2πr(r + h)

Volume of cylinder = πr^2h

Cone

Slant height of cone = sqrt(r^2 + h^2)

Curved surface area of cone = πrl

Total surface area of cone = πrl + πr^2 = πr(l + r)

Volume of cone = (1/3)πr^2h

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Frequently Asked Questions

What are the important topics in Surface Areas And Volumes Of Solid Figures for NIOS Class 10 Maths?
Key topics in Surface Areas And Volumes Of Solid Figures include Surface Areas and Volumes - Complete Overview, Surface Areas and Volumes Overview, Surface Areas and Volumes - Formula Overview. These are the concepts NIOS Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Surface Areas And Volumes Of Solid Figures — NIOS Class 10 Maths?
Understand the core concepts first, then work through the 34 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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