Mensuration Class 10 Formulas PDF (Chapter 13) – Surface Areas & Volumes
Mensuration is one of the most important and scoring chapters in Class 10 Mathematics. It deals with the measurement of geometric figures such as cubes, cuboids, cylinders, cones, and spheres. In this complete guide, you will learn all formulas, concepts, tricks, and problem-solving strategies required for CBSE Board exams.
📥 Download Mensuration Formulas PDF
📌 What is Mensuration?
Mensuration refers to the branch of mathematics that deals with the measurement of length, area, and volume of different geometric shapes. It plays a vital role in real-life applications such as construction, engineering, and daily measurements.
📐 2D Shapes Formulas (Area & Perimeter)
| Shape | Formula |
|---|---|
| Square | Area = a², Perimeter = 4a |
| Rectangle | Area = l × b, Perimeter = 2(l+b) |
| Circle | Area = πr², Circumference = 2πr |
| Triangle | Area = 1/2 × base × height |
🧊 3D Shapes Formulas (Surface Area & Volume)
Cube
Total Surface Area = 6a²
Cuboid
TSA = 2(lb + bh + hl)
Cylinder
Curved Surface Area = 2πrh
Cone
CSA = πrl
Sphere
Surface Area = 4πr²
📊 Important Concepts Explained
Understanding the difference between curved surface area (CSA) and total surface area (TSA) is critical. CSA includes only curved parts, while TSA includes all surfaces.
🧠 Exam Tips & Tricks
- Always convert units before solving
- Use π = 22/7 unless specified
- Draw diagrams for clarity
- Practice NCERT problems thoroughly
📘 Real-Life Applications
Mensuration is used in calculating the volume of tanks, designing buildings, packaging industries, and more.
📚 Practice Questions
1. Find the volume of a cube of side 7 cm.
2. Calculate the surface area of a sphere of radius 14 cm.
3. A cylinder has radius 3 cm and height 10 cm. Find volume.
📌 Conclusion
This guide covers all essential mensuration formulas and concepts for Class 10. Download the PDF and revise regularly to score high in exams.