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Terms & Conditions

Last Updated: March 2026

Welcome to Notebook.

Notebook is a study application designed to help Class 9 & 10 students access notes, important questions (IMP), and previous year question papers (PYQP) for educational purposes. By accessing or using this app, you agree to be bound by these Terms & Conditions. If you do not agree, please discontinue use of the app.

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This app provides educational support content for study purposes only. We strive to maintain accuracy and syllabus alignment with CBSE guidelines. However, we do not guarantee that all information is error-free or fully complete. Students are advised to verify important information with official NCERT textbooks and board guidelines.

2a.
Class 9 Draft Content Notice

Some Class 9 content — particularly Maths — may be based on draft NCERT 2026–27 materials. Chapter lists may differ slightly from the final printed textbook. We recommend cross-checking with your school-issued book.

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Violation of any of these may result in immediate account suspension without refund.

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6a.
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Notebook is an independent, student-run educational initiative. It is not affiliated with, endorsed by, or sponsored by NCERT (National Council of Educational Research and Training) or CBSE (Central Board of Secondary Education). "NCERT" and "CBSE" are their respective owners' names and trademarks, used here only to describe the syllabus this content follows. All notes, summaries and questions on Notebook are prepared independently for revision purposes only and are not official NCERT/CBSE publications.

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Last Updated: March 2026

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If you have questions about this Privacy Policy, you may contact us at [email protected].

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Draft Content Notice

Some Class 9 content in this app may be based on draft NCERT 2026–27 materials. Final chapter lists may vary from printed textbooks.

Operated by Rohit Saini

Grievance Redressal

Last Updated: March 2026

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Operated by Rohit Saini

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About Notebook
Notebook
Study Smart. Score Better.
Version 1.0.0 · CBSE Class 9 & 10

Built for students, by someone who understands the exam pressure.

Notebook is a free study app for Class 9 and Class 10 CBSE students. It brings together chapter notes, important questions, and previous year papers — all in one clean, simple app that works even on slow internet.

Our goal is simple: help every student study smarter, revise faster, and feel more confident before exams — without needing expensive coaching or heavy study material.

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Class 10th Mathematics Chapter 12 Surface Areas and Volumes – Notes

Class 10 Maths Chapter 12 – Combinations of solids, frustum of cone. NCERT CBSE notes.

Topics covered in Surface Areas and Volumes

Frequently asked questions

What topics are covered in Class 10th Mathematics Chapter 12 Surface Areas and Volumes notes?

This chapter covers: Combination of solids, Frustum of cone, Conversion of solids.

Are Surface Areas and Volumes notes free?

Yes, Notebook gives free NCERT CBSE notes for Class 10 Mathematics.

How to prepare Surface Areas and Volumes for Class 10 Mathematics exams?

Read the Surface Areas and Volumes notes first, revise the key topics (Combination of solids, Frustum of cone, Conversion of solids), then practise the important questions and previous year questions (PYQ) for this chapter.

Where can I find Class 10th Mathematics Chapter 12 Surface Areas and Volumes notes for quick revision?

You are on the right page: this notes page for Surface Areas and Volumes covers Class 10 Mathematics for the CBSE exam 2026-27. Use the tabs on this chapter for notes, important questions and PYQ.

Is Class 10th Mathematics Chapter 12 Surface Areas and Volumes important for the CBSE exam 2026-27?

Surface Areas and Volumes is part of the Class 10 Mathematics NCERT CBSE syllabus. Notebook gives notes, important questions and PYQs for it, free.

Also see: Class 10th Mathematics Chapter 12 Surface Areas and Volumes Important Questions · Class 10th Mathematics Chapter 12 Surface Areas and Volumes PYQ

Surface Areas and Volumes

Surface Area of Combinations

When solids are combined (e.g., cone on cylinder), find the total surface area by adding exposed surfaces. TSA of hemisphere = 3πr². TSA of cone = πr(l + r), where l = slant height = √(h² + r²).

Volume of Combined Solids

Volume of combined solid = sum of volumes of individual solids. Volume of cone = (1/3)πr²h; sphere = (4/3)πr³; cylinder = πr²h. When one solid is converted to another, their volumes are equal.

Frustum of a Cone

A frustum is the portion of a cone between two parallel cuts. Volume = (πh/3)(R² + r² + Rr). Curved SA = πl(R + r) where l = √(h² + (R−r)²). Used in buckets, drinking glasses, and lamp shades.

Key Formulas for All Solids

Cube: TSA = 6a², Volume = a³. Cuboid: TSA = 2(lb+bh+hl), Volume = lbh. Cylinder: CSA = 2πrh, TSA = 2πr(r+h), Volume = πr²h. Cone: CSA = πrl, TSA = πr(r+l), Volume = ⅓πr²h, where l = √(r²+h²). Sphere: SA = 4πr², Volume = (4/3)πr³. Hemisphere: CSA = 2πr², TSA = 3πr², Volume = (2/3)πr³. When a solid melts and is recast into another shape, volumes remain equal. Always check units — if r is in cm, volume is in cm³.

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