Mensuration formulas for class 10 mainly include formulas involving the volume and surface area of standard 2D and 3D shapes. Here, the list of some important class 10 mensuration formulas are given for the students to skim through them and retain them for longer quickly.
Class 10 Mensuration Formulas List
In class 10, a lot of important formulas are introduced in mensuration chapter. It should be noted that the formulas of most basic 2D and 3D shapes are included in this class. Some of the important formulas in class 10 mensuration chapter are as follows.
Mensuration Class 10 Formulas for 2D Figures
| Shape Name | Area | Perimeter (or Circumference) |
|---|---|---|
| Circle | πr2 | 2πr |
| Square | a2 | 4a |
| Rectangle | l × b | 2(l + b) |
| Triangle | ½ × height × base | a + b + c |
| Parallelogram | b × h | 2(l + b) |
| Rhombus | ½ × d1 × d2 | 4 × side |
| Trapezium | ½ × h (a + b) | a + b + c + d |
Mensuration Class 10 Formulas for 3D Figures
| Shape Name | TSA | LSA (or CSA) | Volume |
|---|---|---|---|
| Cube | 6a2 | 4a² | a3 |
| Cuboid | 2 (lb +bh +hl) | 2h (l + b) | l × b × h |
| Cone | πr (r + l) | πrl | (⅓) × πr2h |
| Cylinder | 2πrh + 2πr2 | 2πrh | πr2 h |
| Sphere | 4πr2 | 4πr2 | (4/3) × πr3 |
| Hemisphere | 3πr2 | 2πr2 | (⅔) × πr3 |
These were a few important formulas in class 10 mensuration chapter. It should be noted that the concepts of mensuration are generally introduced in class 6 but the formulas continue to be used in higher grades. In class 10, the surface area and volume chapter include all these formulas.
Class 10 Topics Related to Mensuration (Surface Area and Volumes)
Practice Questions Using Class 10 Mensuration Formulas
- Find the area of a circle whose circumference is 30 cm.(Hint: Area Of a Circle)
- Given that the side of a square wall is 75 m. Calculate the cost of painting it at the rate of Rs. 3 per sq. m.(Hint: Area Of A Square)
- Find the amount of air that can be accumulated in a room having the length of 5 m, breadth of 6m and a height of 10m.(Hint: Volume Of Cuboid)
- Calculate the cost required to paint a container which is in the shape of a right circular cylinder having a base radius of 7 m and height 13 m. If the painting cost of the container is Rs. 2.5/m2.(Hint: Surface Area of a Cylinder)
- Find the total surface area of a cone which has a radius of 8 cm and a height of 12 cm.(Hint: Surface Area Of A Cone)
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