write about mensuration related formula with explanation.
Answers
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
---------------------------------------------
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
---------------------------------------------