Class 10 Maths: Mensuration Formulas and Applications

Mensuration in Class 10 Maths

Mensuration is a branch of mathematics that deals with the measurement of geometric figures, their volume, shape, and surface area. In Class 10 Maths, the mensuration chapter focuses on the applications of formulas for various 2D and 3D shapes, including circles, rectangles, triangles, squares, and cubes. This article will discuss the important formulas and their applications in mensuration, particularly in the context of Class 10 Maths.

Important Mensuration Formulas for Class 10 Maths

Some of the key mensuration formulas for Class 10 Maths are as follows:

1. Circle:

   • Area: $$πr^2$$
   • Perimeter (or Circumference): $$2πr$$

2. Square:

   • Area: $$a^2$$
   • Perimeter: $$4a$$

3. Rectangle:

   • Area: $$l × b$$
   • Perimeter: $$2(l + b)$$

4. Triangle:

   • Area: $$\frac{1}{2} × height × base$$
   • Perimeter: $$a + b + c$$

5. Parallelogram:

   • Area: $$b × h$$
   • Perimeter: $$2(l + b)$$

6. Rhombus:

   • Area: $$\frac{1}{2} × d1 × d2$$
   • Perimeter: $$4 × side$$

7. Trapezium:

   • Area: $$\frac{1}{2} × h(a + b)$$
   • Perimeter: $$a + b + c$$

8. Cube:

   • Volume: $$a^3$$
   • Lateral Surface Area: $$6a^2$$

9. Cuboid:

   • Volume: $$2(l + b + h)$$
   • Lateral Surface Area: $$2(l + b)$$

10. Cone:

    • Volume: $$\frac{1}{3} × πr^2h$$
    • Lateral Surface Area: $$πr(l + h)$$

11. Cylinder:

    • Volume: $$2πrh + 2πr^2$$
    • Lateral Surface Area: $$2πrh$$

12. Sphere:

    • Volume: $$4πr^3$$
    • Lateral Surface Area: $$4πr^2$$

These formulas are used to solve various problems in Class 10 Maths chapters, such as determining the area, perimeter, volume, and lateral surface area of different shapes.

Applications of Mensuration in Daily Life

Mensuration is applied in our daily lives in various ways, such as:

• Calculating the size of the required materials for construction projects
• Determining the optimal dimensions of a product for packaging or shipping
• Estimating the volume of paint needed for painting a wall or object
• Planning the layout of furniture in a room or public space

In conclusion, mensuration is an essential topic in Class 10 Maths, as it helps students understand the measurement of geometric figures and their applications in real-life situations. By learning and practicing these formulas, students can develop a strong foundation in mensuration and apply it to various problems in their daily lives.