Chapter 6 · Class 10 ICSE · Formula Sheet
Mensuration (3D Solids) Formulas — Class 10 ICSE
Calculate surface area and volume of cylinders, cones, spheres, and combined solids.
Key Formulas
Volume of Cone
V = \dfrac{1}{3}\pi r^2 h
CSA of Cone
\pi rl
Volume of Sphere
V = \dfrac{4}{3}\pi r^3
SA of Sphere
4\pi r^2
Volume of Hemisphere
\dfrac{2}{3}\pi r^3
TSA of Hemisphere
3\pi r^2
Frustum Volume
V = \dfrac{\pi h}{3}(r_1^2 + r_2^2 + r_1 r_2)
Worked Examples
1Using: Area of Rectangle
Find the area of a rectangle with length 12 cm and breadth 5 cm.
Step 1: Area = l x b
Step 2: = 12 x 5 = 60 sq. cm.
Answer: 60 sq. cm
2Using: Perimeter of Square
Find the perimeter of a square with side 8 m.
Step 1: Perimeter = 4a
Step 2: = 4 x 8 = 32 m.
Answer: 32 m
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