Mensuration

Introduction:Mensuration is the science of measurement of lengths of lines, area of surface and volumes of solidsRemember:•Perimeter is sum of all the sides. It is measured in cm, m etc.•Area of any figure is the amount of surface enclosed within its boundary lines.this is measured in square unit like (centimeter square) &( meter square), etc.•Volume:- If an object is solid, then the space occupied by such an object is called its volume.This is measured in cubic unit like (centimeter cube) & (meter cube) etc.

Basic conversions

1.1 km = 10 hm2.1 hm = 10 dam3.1 dam = 10 m4.1 m = 10 dm5.1 dm = 10 cm6.1 cm = 10 mm7.1 m= 100 cm =

1000 mm8.1 km= 1000 m

1.1 km = 5/8 miles2.1 mile = 1.6 km3.1 inch = 2.54 cm4.1 mile = 1760 yd = 5280 ft.5.1 nautical mile (knot) = 6080

ft6.100 kg = 1 quintal7.10 quintal = 1 tonne 8.1 kg = 2.2 pounds (approx.)9.1 litre = 1000 cc10.1 acre = 100 meter square11.1 hectare = 10000 meter

square (100 acre)

Triangle

a c

B

b AC

Perimeter (P) = a+b+cArea (A) = s(s-a)(s-b)(s-c)

Where s= a+b+c/2 and a,b,c are the three sides of triangle.

Also, A= 1/2 x base x height

Equilateral triangle

a a

a

Perimeter= 3a

Area = x

Right Angle Triangle

p h

b

A = 1/2 pb and =

Where p = perpendicular

b = base

h = hypotenuse

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