How To Calculate Volume And Area Of Various Complicated Geometric Shapes

How To Calculate Volume And Area Of Various Complicated Geometric Shapes


After watching his construction video tutorial, you will be familiar with various formulas which are essential to measure the area and volume of various complicated geometric shapes. 

These complicated shapes range from Trapezoidal pyramid, Right circular cone, Rumbas, Trapezium, Polygon, Circle, Rectangle, Square etc. Geometry (from the Ancient Greek: γεωμετρία; geo- “earth”, -metron “measurement”) is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer.

Geometry arose independently in a number of early cultures as a practical way for dealing with lengths, areas, and volumes. Geometry began to see elements of formal mathematical science emerging in the West as early as the 6th century BC. 

Geometry is segregated into two dissimilar types: Plane Geometry and Solid Geometry. The Plane Geometry is suitable for various shapes like circles, triangles, rectangles, square and more. On the other hand, solid geometry is associated with working out the length, perimeter, area and volume of different geometric figures and shapes. Besides, they are utilized to measure the arc length and radius etc. 

Geometry Formula is useful for making calculation of the length, perimeter, area and volume of different geometric shapes and figures. There exist several geometric formulas, which are associated with height, width, length, radius, perimeter, area, surface area or volume and much more. 

Given below are extensive lists of various types of basic geometry formulas : 
Perimeter of a Square=P=4a Here, a denotes length of the sides of a square

Perimeter of a Rectangle = P = 2(l+b) 
Here, l denotes Length and b denotes 
Breadth Area of a Square=A=a2 
Here, a denotes length of the sides of a square 
Area of a Rectangle=A=l×b 
Here, l denotes Length and b denotes 
Breadth Area of a Triangle=A=b×h2 
Here, b denotes base of the triangle and h denotes height of the triangle
Area of a Trapezoid=A=(b1+b2)h2 
Where, b1 & b2 belong to the bases of the Trapezoid ; h = height of the Trapezoid 
Area of a Circle=A=π×r2 Circumference of a Circle=A=2πr 
Here, r denotes Radius of the Circle 
Surface Area of a Cube=S=6a2 
Here, a denotes length of the sides of a Cube 
Surface Area of a Cylinder=S=2πrh 
Volume of a Cylinder=V=πr2h 
Here, r denotes Radius of the base of the Cylinder and h denotes Height of the Cylinder 
To learn more, go through the following construction video tutorial.

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