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Formula Sheet

Surface Areas And Volumes Of Solid Figures — Formula Sheet

NIOS · Class 10 · Maths

16 formulas from Surface Areas And Volumes Of Solid Figures (NIOS Class 10 Maths) on one page, grouped by topic. Part of the NIOS Class 10 Maths syllabus.

34 questions30 flashcards16 formulas & key relations5 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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16 Entries · 6 Sections

Formulas and Key Relations

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

Cuboid surface area = 2(lb + bh + hl).

Cylinder CSA = 2πrh.

Cylinder TSA = 2πr(r + h).

Key relations

Its formulas are surface area = 6a^2, volume = a^3, and diagonal = a sqrt(3).

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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 Core Ideas and Units, Cylinder, Cone, Sphere and Hemisphere. Study these first, then practise questions on each for the NIOS Class 10 board exam.
How many formulas are in Surface Areas And Volumes Of Solid Figures?
This sheet lists 16 formulas from Surface Areas And Volumes Of Solid Figures, 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 Of Solid Figures for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 34 practice questions on Surface Areas And Volumes Of Solid Figures. 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 NIOS Class 10 Maths Formula Sheet

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