Chapter 14: Math of Space: Surface Area and Volume
Read this chapter on NCERT Archive
The full chapter, with its textbook PDF and chapter solutions, now lives on NCERT Archive. Use the buttons below to open it.
About Chapter 14 (Math of Space: Surface Area and Volume)
Chapter 14 (Math of Space: Surface Area and Volume) is chapter 14 of 14 in the new edition of Ganita Manjari (NCERT Class 9 Mathematics), a textbook for Class 9 students at the Secondary stage. This is the new edition, the textbook brought out under the NEP 2020 / NCF-SE 2023 syllabus rollout.
Chapter 14 develops formulas for the surface area and volume of cuboids and cubes, right circular cylinders, cones, pyramids, spheres and hemispheres, with hands-on activities and Archimedes' results. It ends with guesstimate problems that use these formulas to make reasonable estimates in real situations.
It is the closing chapter of the book, coming right after Chapter 13 (Two Variables, One Line).
Topics covered
- Cuboids and cubes
- Right circular cylinder
- Cones
- Pyramidal shapes
- Spheres and hemispheres
- Guesstimate problems
What you will find on NCERT Archive
NCERT Archive is our dedicated site for NCERT textbooks and solutions, Class 1 to 12. The page for Chapter 14 (Math of Space: Surface Area and Volume) there lets you read the chapter and open its textbook PDF, and it links straight to the solutions for the same chapter. Use the buttons above to go to it.
How to study Math of Space: Surface Area and Volume
- Read the worked examples before the exercises and copy out each step in your own hand.
- Attempt every exercise question yourself first; open the solution only to check your method or when you are stuck.
- Keep a short list of formulas and definitions from the chapter and revise it before tests.
- Redo the questions you got wrong after a day or two, without looking at the solution.
Frequently Asked Questions
Which book is Chapter 14 (Math of Space: Surface Area and Volume) of Class 9 Mathematics from?
It is from the new edition of Ganita Manjari (NCERT Class 9 Mathematics). The book has 14 chapters, and this is chapter 14.
Where can I read Chapter 14 (Math of Space: Surface Area and Volume) of Class 9 Mathematics?
On NCERT Archive. Press the "Open Chapter 14" button on this page and you will land on the chapter page there, where you can read it and open its textbook PDF.
Is this the new edition or the old edition?
This page is for the new edition. If your school still uses the earlier textbook, use the Old Edition switch at the top of the page.
Is it free to use?
Yes. Scholar Donkey and NCERT Archive are free to use and need no login.