CALCULATION OF AREA, SURFACE AREA AND VOLUME

Aptitude and Reasoning Course
Volume
Area, Surface area and
A. Module Objective
This Module describes various standard geometrical structures that exist and
methods/formulas for calculating its characteristic values that can be used for various
applications/calculations. The structures include circle, triangle, cylinder etc., that exists with
in or as a shape, in all the practical entities we see in our daily life. So, calculating its area,
Volume and perimeter gives the mathematical insight about the structure.
For example, in order to determine the number of tiles of specific shape to be placed
over the floor of specific dimension, area of both tile and the floor become the basis.
B. Prerequisites (Related Formulas):-
1. Area Calculations: Area is a quantity that expresses the extent of a twodimensional
surface or shape in the plane. Area can be understood as the amount of
material with a given thickness that would be necessary to fashion a model of the
shape, or the amount of paint necessary to cover the surface with a single coat.
1 square kilometer = 1,000,000 square meters,
1 square meter = 10,000 square centimetres = 1,000,000 square millimeters
1 square centimetre = 100 square millimeters
1 square yard = 9 square feet
1 square mile = 3,097,600 square yards = 27,878,400 square feet
a. square = a 2
b. rectangle = ab
c. parallelogram = bh
d. trapezoid = h/2 (b 1 + b 2 )
e. circle = pi r 2
f. ellipse = pi r 1 r 2
SITAMS, Chittoor Page 2