Surface Areas and Volumes Class 9 Mathematics Notes

Please refer to Surface Areas and Volumes Class 9 Mathematics Notes and important questions below. The Class 9 Mathematics Chapter wise notes have been prepared based on the latest syllabus issued for the current academic year by CBSE. Students should revise these notes and go through important Class 9 Mathematics examination questions given below to obtain better marks in exams

Surface Areas and Volumes Class 9 Mathematics Notes and Questions

The below Class 9 Surface Areas and Volumes notes have been designed by expert Mathematics teachers. These will help you a lot to understand all the important topics given in your NCERT Class 9 Mathematics textbook.

Refer to Chapter 13 Surface Areas and Volumes Notes below which have been designed as per the latest syllabus issued by CBSE and will be very useful for upcoming examinations to help clear your concepts and get better marks in examinations.

1. Surface Area of a Cuboid and a Cube
2. Surface Area of a Right Circular Cylinder
3. Surface Area of a Right Circular Cone
4. Surface Area of a Sphere
5. Volume of a Cuboid
6. Volume of a Cylinder
7. Volume of a Right Circular Cone
8. Volume of a Sphere
· Polyhedrons Shapes:
(i) Cube:
Cube whose edge = a
Diagonal of Cube = √3a
Lateral Surface Area of Cube = 4a²
Total Surface Area of Cube = 6a²
Volume of Cube = a³
(ii) Cuboid:
Cuboid whose length = l, breadth = b and height = h
Diagonal of Cuboid =√ l² + b² + h²
Lateral Surface Area of Cuboid = 2(l + b) h
Total Surface Area of Cuboid = 2 (lb + bh + hl)
Volume of Cuboid = lbh
· Non-polyhedrons:
(i) Cylinder:
Cylinder whose radius = r, height = h
Curved Surface Area of Cylinder = 2πrh
Total Surface Area of Cylinder = 2πrh(r + h)
Volume of Cylinder = πr²h
(ii) Cone:
Cone having height = h, radius = r and slant height = l
Slant height of Cone (l) = √r² + h²
Curved Surface Area of Cone = πrl
Total Surface Area of Cone = πr(r + l)
Volume of Cone = 1/3πr²h
(iii) Sphere:
Sphere whose radius = r
Surface Area of a Sphere = 4π r²
Volume of Sphere = 4/3πr³
(iv) Hemisphere:
Hemisphere whose radius = r
Curved Surface Area of Hemisphere = 2πr²
Total Surface Area of Hemisphere = 3πr²
Volume of Hemisphere = 2/3πr³