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Encapsulate
math
Perimeter, AreA And vOLume

Perimeter and Area volume

rectangle: The amount of space occupied by a solid is known as its
l volume.
volume of cuboid:
b
Height
Perimeter of a rectangle = 2 (length + breadth) units
Area of a rectangle = length × breadth sq. units Length Breadth
Square: Volume of cuboid = length × breadth × height cu. units
s
volume of cube:
s
s

Perimeter of a square = 4 × side units s s
Area of a square = side × side sq. units Volume of cube = side × side × side cu. units
triangle:

Area of irregular Shape
Area of an irregular closed figure
1
= (m + n + p) sq. units, where
Perimeter of a triangle = sum of its three side units 2
Perimeter of an equilateral triangle = 3 × side units m = full squares
n = more than half squares
1
Area of a triangle = × Area of a square or rectangle sq. p = half squares
2 units

www
MAths connect

In construction and engineering, both
commercial and residential buildings are 209 m 75 m
constructed using the idea of a perimeter
and area. It makes it easier to distinguish 28 m 1.2 m Front
between the geometrical features of 1.2 m Door 6 m 100 m
buildings before and after construction. 310 m
1.6 m
Observe the building map and answer the following questions.

1. What is the perimeter of the building?
2. What is the area of the roof of the building?
3. What is the area of the front door?
4. What is the area of a window?
5. What is the area enclosed by the compound?

228 Mathematics-5