Mensuration( Part 02 )

 Mensuration

9.Rhombus

Area  =  d1*d2
Perimeter = 4a

10.Kite

Area  =  d1*d2/2
Perimeter = 2 * sum of none adjacent sides

11.Cuboid

Surface area = 2( lb + bh + lh )
Volume = l*b*h

12.Cube

Surface area = 6l^2
Volume = l^3
Length of the diagonal of the cube = √3 l

13.Cylinder

Curved surface area = 2𝝅rh
Total surface area = 2𝝅r( r + h )
Volume =𝝅r^2h

14.Cone

Curved surface area =𝝅rl
Total surface area =𝝅r( l + r )
Volume = 1/3 𝝅r^2h
Area of base of a cone =𝝅r^2


15.Sphere

Surface area = 4𝝅r^2
Volume = 4/3 𝝅r^3

16.Hemisphere

Curved surface area = 2𝝅r^2
Total surface area = 3𝝅r^2
Volume = 2/3 𝝅r^3

17.Prism

Surface area of a triangular prism = ( p * ht ) + ( 2 * area of triangle )
where, P = Perimeter of base

18.Frustum of a Cone

Volume = 1/3 𝝅h( r1^2 + r2^2 + r3^2 )
Curved surface area =𝝅( r1 + r2 )*l
where l = √h^2 + ( r1 - r2 )^2
Total surface area of the frustum of the cone =𝝅l( r1 + r2 ) + 𝝅( r1^2 + r2^2 )


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