Question

Ch 11 mensuration in maths all formulas.

Answer 1

Formulas::::-----
Area of a Rectangle = length (l) X breadth (b)
Perimeter of rectangle = 2X(l+b)

Square
Area = a×a = a2
Perimeter = 4a

Area of Parallelogram = l X h
Perimeter of paralleogram = 2X(l+b)

circle:
Area = πr2 = 1/4πd2
Circumference of Circle = 2πr
Radius r= d/2
Area of Sector of a Circle = θπr2/360
where θ= measure of angle of the sector , r= radius of the sector
Cylinder
Let r = radius of base , h= height of cylinder
Volume of cylinder = πr2h
Total surface area of cylinder = 2πr(r + h)
Curved Surface Area = 2πrh
Sphere
Let r= radius of sphere , d= diameter of sphere
Volume of sphere = 4/3 πr3 =1/6 πd3
Surface Area of sphere = 4 πr2 = πd2
Hemisphere
Let r= radius of hemisphere
Volume of sphere = 2/3 πr3 = 1/12 πd3
Surface Area of sphere = 3 πr2
Curved Surface area of a hemisphere = 2 πr2
Cone
Let r= radius of base, l = lateral height of cone , h = height of cone
Lateral height of Cone l = {(h2+r2)}1/2
Volume of right circular cone = 1/3 πr2h
Area of base of a cone = πr2
Curved Surface Area of Cone = πrl
Total Surface area of cone = πr(r+l)
Cube
Volume of Cube =l X l X l = l3
Length of Diagonal of Cube = √3l
Cuboid

Let l=length , b= breadth , h= height
Volume of Cuboid = l X b X h
Length of diagonal of cuboid =(l2+b2+h2)1/2
Total Surface area of Cuboid = 2(lb+bh+lh)
Area of Triangle = 1/2 X b X h


rhombus:

d1 and d2 are the diagonals of the rhombus
Area = 1/2 X d1 X d2
Perimeter = 4 X length of Side = 4l

Answer 2

what is volume of cube cuboid and cylinder