Chapter 14: Math of Space: Surface Area and Volume - Solutions
Chapter solutions are on NCERT Archive
Step-by-step solutions for this chapter now live on NCERT Archive, along with the chapter itself. Use the buttons below to open them.
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 the solutions on NCERT Archive include
NCERT Archive is our dedicated site for NCERT textbooks and solutions, Class 1 to 12. The solutions page for Chapter 14 (Math of Space: Surface Area and Volume) there gives chapter-wise answers to the questions of Ganita Manjari (NCERT Class 9 Mathematics), written to follow the order of the textbook, and links back to the chapter itself. 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 find the solutions for Chapter 14 (Math of Space: Surface Area and Volume) of Class 9 Mathematics?
On NCERT Archive. Press the "Open Chapter Solutions" button on this page and you will land on the solutions page for this chapter there.
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.