MATHEMATICS PROJECT
MONUMENTS OF NAGALAND AND MANIPUR AND MATH RELATED.
INDEX
OBJECTIVES
Explanation on how math can be used in many art forms of nagaland AND MANIPUR.
INTRODUCTION
India is a country of cocktail traditions and culture scattered among the nation, if we look around India we find many wonders around and get amazed by nature , but can you imagine an entire state with full of adventures and mysteries, Nagaland welcomes you with its tradition and adventures.The various crafts and art that were known to the early Nagas .
We are gonna relate the monuments of Nagland and manipur to maths, we are going to find out the space (area) covered by them
MONUMENTS
The Kachari Ruins
THE KOHIMA WAR CEMETRY
The kangla fort
The kachri ruins
The kachri ruins
The Kachari Ruins are located in Dimapur,Nagaland.
The Kachari Ruins is a series of mushroom domed pillars.
They were created by the Kachari Kingdom and Some pillars still stand in but others have crumbled down. It is believed that a game similar to chess was played there with the mushroom domes. Present day: - The ruins have long been neglected.
KOHIMA WAR CEMETRY
KOHIMA WAR CEMETRY
Kohima War Cemetery is a memorial dedicated to soldiers of the 2nd British Division
who died in the Second World War in April 1944.
According to the Commonwealth War Graves Commission (CWGC), which maintains
this cemetery among many others in the world, there are 1,420 Commonwealth
burials of the Second World War at this cemetery, and a memorial to an
additional 917 Hindu and Sikh soldiers who were cremated in accordance
with their faith.
THE KANGLA FORT
THE KANGLA FORT
The Palace of Kangla is an old palace at Imphal in the Manipur state of India. It was situated on both sides (western and eastern) of the bank of the Imphal River. But now it remains only on the western side of the bank. Only the ruins remain now. Kangla means "dry land" in old Meetei. It was the traditional seat of the past Meetei rulers of Manipur.
POLYHEDRONS
In geometry, a polyhedron is a three-dimensional shape with flat polygonal faces, straight edges and sharp corners or vertices.
Ex - Cuboid , Cube, Tetrahedron
THE KACHRI RUINS
CYLINDER
SPHERE
THE KACHRI RUINS
Prototype
cylinder
Cylinder
Hemisphere
h
h/4
THE KACHRI RUINS
MEASUREMENTS
WHITE CYLINDER: h = 3 M, r = 1.5 M
BLACK CYLINDER: h = 3/4 M, r = 1.5 M
BLACK CYLINDER 2: h = 3/4 M, r = 1.5 M
Hemisphere 2: r = 1.5 M
THE KACHRI RUINS
AREA
TSA = Area of cylinder +
Area of black cylinder+
Area of black cylinder+
Area of Hemisphere
TSA = 42 M +
10.5 M +
10.5 M +
21 M
THE KACHRI RUINS
AREA
TSA
=
84 square metres
THE KACHRI RUINS
AREA
84 square metres
KOHIMA WAR CEMETRY
RIGHT CIRCULAR CYLINDER
CUBOID
KOHIMA WAR CEMETRY
Prototype
KOHIMA WAR CEMETRY
MEASUREMENTS
Cylinder 1 : h = 0.5 m, r = 2 M
Cylinder 2 : h = 0.25 M, r = 1.25 M
Cylinder 3 : h = 0.25 M, r = 1.0 M
Cuboid 1 & 2 : h = 0.5 M,
l = 1 M, b = 0.5 M
KOHIMA WAR CEMETRY
AREA
TSA = Area of cylinder 1 +
Area of cylinder 2+
Area of cylinder 3+
2(Area of CUBOID)
TSA = 31.5 M^2 +
11.7 M^2 +
7.8 M^2 +
2(2.5 M^2)
KOHIMA WAR CEMETRY
AREA
tsa
=
56 square metres
KOHIMA WAR CEMETRY
AREA
56 square metres
THE KANGLA FORT
CYLINDER
SPHERE
CUBOID
the kangla fort
Prototype
the kangla fort
Prototype
Cylinder: R = 3 , H = 13 M
CUBOID 1: L = 50 M, H = 15,B = 0.5 M
CUBOID 2: L = 20M,H = 3 M,B = 0.5M
HEMISPHERE: R = 5 M
1
2
2
the kangla fort
MEASUREMENTS
TSA = Area of cylinder +
Area of hemisphere+
Area of cuboid 1+
2(Area of cuboid 2)
TSA = 301 M^2 +
235 M^2 +
1565 M^2 +
286 M^2
THE kangla fort
AREA
TSA
=
2387 square metres
THE KACHRI RUINS
AREA
2387 square metres
CONCLUSION
This was a wonderful project for both making and learning . I enjoyed learning
the monuments and using math to find their space .
The math is one of the most
prominent factor in the universe , the whole universe could be explained using math.
So it is always necessary to co-relate math with the surroundings , which was also the
main objective of the project.
THANKS FOR PERUSING WITH ME
CREATED BY
Chirag saini
CLASS - 9th A
math
By Chirag Saini
