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Mensuration - Coggle Diagram
Mensuration
3D Objects
Cube
Surface Area
6(Area of the squares)
Volume
Length x Breadth x Height (or just Length^3)
Cuboid
Surface Area
2ab + 2ac + 2bc
Volume
abc
Prism
Surface Area
(2 x Area of base) + (Perimeter of base × height of prism)
Volume
Area of uniform cross
section × height
Cylinder
Surface Area
2πr^2 + 2πrh
Volume
(πr^2)h
Pyramid
Surface Area
(a^2) + 4(1/2 x ak)
Volume
1/3 (a^2)h
Cone
Surface Area
πr^2 + πrl
Volume
1/3 (πr^2)h
Sphere
Surface Area
4(πr^2)
Volume
4/3 πr^3
Conversion of Units
1m = 100cm
1cm = 0.01m
1m^3 = 1 000 000 cm^3
1cm^3 = 0.000 000 1m^3
2D Objects (Plane Figures)
Circle
Perimeter (Circumference)
2πr OR πd
Area
πr^2
Parallelogram
Perimeter
2(breadth + length)
Area
Breadth x Height (Height is perpendicular to Breadth Line)
Trapezium
Perimeter
sum of the lengths of all the four sides
Area
1/2 (a + b)h
