Math, asked by ananyasharma9701, 7 months ago

write about mensuration related formula with explanation. ​

Answers

Answered by ItzLoveHunter
38

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Mensuration :

Mensuration is defined as the study of the measurement of various 2D and 3D geometric shapes involving their surface areas, volumes, etc

Formulas :

Area of square

A = a²

here :

A = Area

a = side

---------------------------------------

Perimeter of Square

P = 4 × a

here :

P = Perimeter

a = side

-----------------------------------------

Perimeter of the Rectangle:

P = 2 × ( L + B)

here:

P = Perimeter

L = Length

B = Breadth

-----------------------------------------

Area of the rectangle:

A = L× B

here:

A = Area

L = Length

B = Breadth

----------------------------------------

Surface area of a cube:

S = 6 × A²

here:

S = The surface area of a cube

A = Length of the side of a cube

---------------------------------------------

Surface Area of a Cuboid:

S = 2 × (LB + BH + HL)

here:

S = Surface Area of Cuboid

L = Length of Cuboid

B = Breadth of Cuboid

H = Height of Cuboid

----------------------------------------------

Surface Area of a Cylinder:

S = 2 × π × R × (R+H)

here:

S = Surface Area of Cylinder

R = The radius of Circular Base

H = Height of Cylinder

-------------------------------------------------

Surface Area of a Sphere:

S = 4 × π × R²

here:

S = Surface Area of Sphere

R = Radius of Sphere

------------------------------------------------

Surface Area of a Right circular cone:

S = π × r(l+r)

here:

S = Surface Area of Cone

R = The radius of Circular Base

L = Slant Height of Cone

----------------------------------------------------

Volume of a cube:

V = A3

here:

V = Volume of cube

A = side of cube

---------------------------------------------------

Volume of Cuboid:

V = L × B × H

here :

V = Volume of Cuboid

L = Length of Cuboid

B = Breadth of Cuboid

H = Height of Cuboid

----------------------------------------------------

Volume of a Cylinder:

V = π × R² × H

here:

V = Volume of Cylinder

R = The radius of Circular Base

H = Height of Cylinder

---------------------------------------------------

Volume of a Right circular cone:

V = ( π × R² × H ) ÷ 3

here:

V = Volume of Cone

R = The radius of Circular Base

H = Height of Cone

-------------------------------------------------

Volume of a Sphere:

V = 4/3 × π × R³

here:

V = Volume of Sphere

R = Radius of Sphere

------------------------------------------------

Volume of a Right circular cone:

V = 1/3 × π × R² × H

here:

V = Volume of Cone

R = The radius of Circular Base

H = Height of Cone

---------------------------------------------

Answered by Anonymous
1

Mensuration is defined as the study of the measurement of various 2D and 3D geometric shapes involving their surface areas, volumes, etc

Formulas :

Area of square

A = a²

here :

A = Area

a = side

---------------------------------------

Perimeter of Square

P = 4 × a

here :

P = Perimeter

a = side

-----------------------------------------

Perimeter of the Rectangle:

P = 2 × ( L + B)

here:

P = Perimeter

L = Length

B = Breadth

-----------------------------------------

Area of the rectangle:

A = L× B

here:

A = Area

L = Length

B = Breadth

----------------------------------------

Surface area of a cube:

S = 6 × A²

here:

S = The surface area of a cube

A = Length of the side of a cube

---------------------------------------------

Surface Area of a Cuboid:

S = 2 × (LB + BH + HL)

here:

S = Surface Area of Cuboid

L = Length of Cuboid

B = Breadth of Cuboid

H = Height of Cuboid

----------------------------------------------

Surface Area of a Cylinder:

S = 2 × π × R × (R+H)

here:

S = Surface Area of Cylinder

R = The radius of Circular Base

H = Height of Cylinder

-------------------------------------------------

Surface Area of a Sphere:

S = 4 × π × R²

here:

S = Surface Area of Sphere

R = Radius of Sphere

------------------------------------------------

Surface Area of a Right circular cone:

S = π × r(l+r)

here:

S = Surface Area of Cone

R = The radius of Circular Base

L = Slant Height of Cone

----------------------------------------------------

Volume of a cube:

V = A3

here:

V = Volume of cube

A = side of cube

---------------------------------------------------

Volume of Cuboid:

V = L × B × H

here :

V = Volume of Cuboid

L = Length of Cuboid

B = Breadth of Cuboid

H = Height of Cuboid

----------------------------------------------------

Volume of a Cylinder:

V = π × R² × H

here:

V = Volume of Cylinder

R = The radius of Circular Base

H = Height of Cylinder

---------------------------------------------------

Volume of a Right circular cone:

V = ( π × R² × H ) ÷ 3

here:

V = Volume of Cone

R = The radius of Circular Base

H = Height of Cone

-------------------------------------------------

Volume of a Sphere:

V = 4/3 × π × R³

here:

V = Volume of Sphere

R = Radius of Sphere

------------------------------------------------

Volume of a Right circular cone:

V = 1/3 × π × R² × H

here:

V = Volume of Cone

R = The radius of Circular Base

H = Height of Cone

---------------------------------------------

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