■ Class 10 Maths – Chapter 13
Surface Areas and Volumes
■ Introduction
This chapter deals with finding the surface area and volume of solid shapes like cubes, cuboids,
cylinders, cones, and spheres. These concepts are used in daily life such as tanks, pipes,
ice■cream cones, etc.
■ Important Formula Mind Map
Solid Curved Surface Area (CSA) Total Surface Area (TSA) Volume
Cuboid - 2(lb + bh + hl) l×b×h
Cube - 6a² a³
Cylinder 2πrh 2πr(r + h) πr²h
Cone πrl πr(l + r) 1/3 πr²h
Sphere 4πr² - 4/3 πr³
Hemisphere 2πr² 3πr² 2/3 πr³
■ Mind Map Idea
Solid Shapes ➝ (Cube, Cuboid, Cylinder, Cone, Sphere, Hemisphere) ➝ Find CSA ➝ Find TSA ➝
Find Volume
■ Exam Tips Stickers
1 ■ Always convert units to same form (cm → cm³)
2 ■ Write formula before substitution
3 ■ Use π = 22/7 or 3.14 only as given
4 ■ Draw rough diagram for clarity
Surface Areas and Volumes
■ Introduction
This chapter deals with finding the surface area and volume of solid shapes like cubes, cuboids,
cylinders, cones, and spheres. These concepts are used in daily life such as tanks, pipes,
ice■cream cones, etc.
■ Important Formula Mind Map
Solid Curved Surface Area (CSA) Total Surface Area (TSA) Volume
Cuboid - 2(lb + bh + hl) l×b×h
Cube - 6a² a³
Cylinder 2πrh 2πr(r + h) πr²h
Cone πrl πr(l + r) 1/3 πr²h
Sphere 4πr² - 4/3 πr³
Hemisphere 2πr² 3πr² 2/3 πr³
■ Mind Map Idea
Solid Shapes ➝ (Cube, Cuboid, Cylinder, Cone, Sphere, Hemisphere) ➝ Find CSA ➝ Find TSA ➝
Find Volume
■ Exam Tips Stickers
1 ■ Always convert units to same form (cm → cm³)
2 ■ Write formula before substitution
3 ■ Use π = 22/7 or 3.14 only as given
4 ■ Draw rough diagram for clarity
