Quantitative Aptitude – Mensuration
Another important topic of Competitive exams is Mensuration. Mensuration is very common in the exams like railway exams, bank exams and other government & private exams.
So, as we know that is topic is very important for the exam, you need to learn this chapter very carefully. Basic idea and formula will help you to solve questions of Mensuration.
So, let’s starts the basic concepts of this chapter.
What is Mensuration ?
Definition: The measurement of Volumes and Areas of various geometrical figure is known as Mensuration.
Types of Geometrical Figure
Basically there are two types of Geometrical figure.
- 2D Figures
- 3D Figures
2D Figures:
Rectangle, Square, Triangle, Circle, Rhombus, Trapezoid, Parallelogram are some 2D geometric figures.
3D Figures:
Cube, Cuboid, Cone, Cylinder, Prism, Pyramid, Sphere and Hemisphere are some 3D geometric figures.
Important Formulas of Mensuration
So, Here is some important formulas of few Geometrical figures.
Rectangle
- Area: Length X Width
- Perimeter: 2(Length) + 2(Width)
Square
- Area: Side X Side
- Perimeter: 4 X Side
Triangle
- Area: (Base X Height) / 2
- Perimeter: Side A + Side B + Side C
Circle
- Area: Π X r²
- Perimeter: 2 X Π X r
Rhombus
- Area: ( Diagonal A X Diagonal B ) / 2
- Perimeter: 4 X Side
Trapezoid
- Area: ( Side A + Side B ) X Height / 2
- Perimeter: Sum of all Sides.
Parallelogram
- Area: Base X Height
- Perimeter: ( 2 X Sides ) + ( 2 X Base )
Cube
- Surface Area: 6 X Side²
- Volume: Base X Base X Base
Cuboid
- Surface Area: 2 ( (Length X Width) + (Width X Height) + (Length X Height) )
- Volume: Length X Width X Height
Cone
- Surface Area: Π X Radius X ( Radius + Length)
- Volume: 1/3 Π X Radius² X Height
Cylinder
- Surface Area: 2Π X Radius X ( Radius + Height)
- Volume: Π X Radius² X Height
Prism
- Surface Area: 2 X Area of Triangle + ( Perimeter X Height)
- Volume: ( Base X Height ) / 2 X Height
Pyramid
- Surface Area: Area of the Base + 1/2 X Perimeter X Slant Height
- Volume: 1/3 ( Base X Height ) / 2 X Height
So, this is the basic idea and formulas of Mensuration. Now if you have any question in your mind, then please feel free to ask us here in www.AptitudeTricks.com. We will discuss your question here.