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Encapsulate
math
Mensuration

area surface area and Volume

shape area (sq. unit) shape surface area Lateral/ Volume
trapezium Curved
surface area
1 ××(a b
+ )
h
2 Cube
2
3
6a sq. unit 4a sq. unit a cubic unit
2
General Quadrilateral
Cuboid
1 ×× + h 2 ) 2(lb + bh + lh) 2h(l + b) l × b × h cubic
d
2 1 (h sq. unit sq. unit unit

d Cylinder
rhombus
2pr(r + h) sq. 2prh pr h
2
1 × d × d h unit sq. unit. cubic unit.
2 1 2
r

Polygon Sum of the areas of
the triangles and/or
the quadrilaterals
that make up the
polygon.

www
MAths connect
Agriculture is the practice of growing plants on a large scale for food. G
A human life is not sustainable without agriculture, as it provides basic
essentials like food to live a healthy life. Along with that, agriculture
also includes cultivating the soil, preparation of plant, growing crops, 160 m
raising livestock, and deriving animal products for people to use and 40 m F
their distribution to markets. K 80 m I 40 m
A J 80 m H 80 m E
A farmer has a piece of agricultural land, and he wants to take a 60 m
loan for farming. For this purpose, he needs to calculate the area of 60 m B 100 m 100 m
the land. Here is the map of land and the measurements are given
in metres. Help him to find the area of the land. C D

255 Mensuration