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Here’s what is mensuration in mathematics. We can define mensuration as the branch of mathematics that studies the measurement of various different geometric figures and their parameters like length, volume, shape, surface area, lateral surface area, etc. Here, the concepts of mensuration are explained and all the important mensuration formulas and properties of different geometric shapes and figures are covered.

Now we know what is mensuration in mathematics. Mensuration can be defined as the branch of mathematics which talks about the length, volume or area of different geometric shapes. These shapes exist in 2 dimensions or 3 dimensions. Let’s learn the difference between the two.

Let’s learn a few more definitions related to this topic.

Here are the important math formula mensuration.

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Area of Square: Formula for Area of square (A) = a^{2} , where A = Area of a square, a = Side of a square

Perimeter of Square: Formula for Perimeter of a Square (P) = 4 × a , where P = Perimeter of a square , a = Side of square

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Perimeter of the Rectangle: P= 2 × ( L+B) , where P = Perimeter of a rectangle, L = Length of a rectangle , B= Breadth of a rectangle

Area of the Rectangle: A= L× B , where A = Area of a rectangle, L = Length of a rectangle , B= Breadth of a rectangle

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Surface area of a cube: S = 6 × A^{2} , where S= Area of a rectangle, A= Length of the side of the cube

Volume of a cube: V =A^{3} where, V = Volume of the cube, A = Side of the cube

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Surface Area of a Cuboid: S = 2 × (LB + BH + HL) ,where S = Surface Area of a cuboid, L = Length of cuboid, B= Breadth of the cuboid , H = Height of the cuboid

Volume of Cuboid: V = L × B × H, where V = Volume of the cuboid, L= Length of the cuboid, H equals to the height of the cuboid and B = Breadth of the cuboid .

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Surface Area of a Cylinder: S= 2 × π × R × (R+H), where S= Surface Area of the Cylinder, R = Radius of the Cylinder, H =Height of the cylinder

Volume of a Cylinder: V= π × R^{2} × H, where V = Volume of the Cylinder, R = Radius of the Cylinder, H =Height of the cylinder

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Surface Area of a Sphere: S =4 × π × R^{2} , where S= Surface Area of the sphere, R = Radius of the Sphere

Volume of a Sphere: V = 4/3 × π × R^{3}, where V= Volume of the sphere, R = Radius of the Sphere

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Surface Area of a Right circular cone: S = π × r(l+r) , where S= Surface Area of the Right Circular Cone, l = Length of the cone, r = Radius of the cone

Volume of a Right circular cone: V = ( π × R^{2} × H ) ÷ 3, where V = Volume of the Right circular cone , H = Height of the cone.

Question 1) What is the area and perimeter of a square with a side of 4 cm?

Solution)We know the formula to find the area of a square and perimeter of a square,

Area of square (A) = a^{2} , Here the value of a = 4 cm

Therefore, the Area of a square = 42 = 16 cm

Perimeter of square = 4 × a , We know that the value of a = 4 cm

Therefore, the Perimeter of a square = 4 × 4 = 16 cm

FAQ (Frequently Asked Questions)

Question 1) How do you calculate Mensuration ? What is Mensuration?

Answer) Mensuration Formulas

Area of rectangle (A) is equal to length(l) × Breath(b)

Perimeter of a rectangle (P) is equal to 2 × (Length(l) + Breath(b))

Area of a square (A) is equal to Length (l) × Length (l)

Perimeter of a square (P) is equal to 4 × Length (l)

Area of a parallelogram (A) is equal to Length(l) × Height(h)

Perimeter of a parallelogram (P) is equal to 2 × (length(l) + Breadth(b))

Now we know what is mensuration in mathematics. Here’s the definition of mensuration and we can define mensuration as the branch of mathematics which deals with the study of different geometrical shapes,their areas, and Volume. In simple words, it is all about the process of measurement.

Question 2) How many types of Mensuration are there? Which topics come under Mensuration? What is the volume in Mensuration?

Answer) Mensuration

Cylinder.

Circles.

Polygons.

Rectangles and Squares.

Trapezium, Parallelogram and Rhombus.

Area and Perimeter.

Cube and Cuboid

So let us study the topics that come under mensuration:

Cylinder.

Circles.

Polygons.

Rectangles and Squares.

Trapezium, Parallelogram and Rhombus.

Area and Perimeter.

Cube and Cuboid.

**Here are the Volume Formulas : **We know that solid occupies some regions in space and the magnitude of this region is known as the Volume of the solid. One of the standard units of volume is cubic centimeter (cm^{3}) .