Learning Outcomes: â€¢ To use Heronâ€™s formula for calculating area of triangles and quadrilaterals. â€¢ To find Total Surface Area (TSA), Lateral Surface Area (LSA) and Volume of cuboids and cubes.

**MENSURATION**

The most beautiful plane figure is the circle and the most beautiful
solid figure is the sphere. âˆ’ *Pythagoras.*

Heron of Alexandria was a Greek mathematician. He wrote
books on mathematics, mechanics and physics. His famous book â€˜Metricaâ€™ consists
of three volumes. This book shows the way to calculate area and volume of plane
and solid figures. Heron has derived the formula for the area of triangle when three
sides are given.

**Heron A.D (C.E) 10-75**

** **

â€¢ To use Heronâ€™s formula for calculating area of triangles
and quadrilaterals.

â€¢ To find Total Surface Area (TSA), Lateral Surface Area
(LSA) and Volume of cuboids and cubes.

Mensuration
is the branch of mathematics which deals with the study of areas and volumes of
different kinds of geometrical shapes. In the broadest sense, it is all about the
process of measurement.

Mensuration
is used in the field of architecture, medicine, construction, etc. It is necessary
for everyone to learn formulae used to find the perimeter and area of two dimensional
figures as well as the surface area and volume of three dimensional solids in day
to day life. In this chapter we deal with finding the area of triangles (using Heronâ€™s
formula), surface area and volume of cuboids and cubes.

For a closed
plane figure (a quadrilateral or a triangle), what do we call the distance around
its boundary? What is the measure of the region covered inside the boundary?

In general,
the area of a triangle is calculated by the formula

Area = 1/2 Ã— Base Ã— Height *sq. units *

That is, A = 1/2 Ã—* b *Ã— h *sq. units *

where, *b*
is base and *h* is height of the triangle.

From the
above, we know how to find the area of a triangle when its â€˜baseâ€™ and â€˜heightâ€™ (that
is altitude) are given.

Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail

9th Maths : UNIT 7 : Mensuration : Mensuration |

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