Mensuration Formulas Class 10


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Mensuration Formulas Class 10

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 is 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 the mensuration chapters. It should be noted that the formulas of the most basic 2D and 3D shapes are included in this class. Some of the important formulas in class 10 mensuration-related chapters are as follows. All these formulas are used to solve many problems in class 10 maths chapters.

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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 the 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

  1. Find the area of a circle whose circumference is 30 cm. (Hint: Area Of a Circle)
  2. 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)
  3. Find the amount of air that can be accumulated in a room having a length of 5 m, breadth of 6m and a height of 10m. (Hint: Volume Of Cuboid)
  4. Calculate the cost required to paint a container that is in the shape of a right circular cylinder having a base radius of 7 m and a height of 13 m. If the painting cost of the container is Rs. 2.5/m2.(Hint: Surface Area of a Cylinder)
  5. 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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