Introduction to Mensuration
Mensuration is the ability to calculate the length of lines, the area of surfaces, and the volume of solids based on simple data of lines and angles. Mensuration means “to measure.” It is commonly used to measure or calculate different physical parameters like perimeter, area, volume, or length geometrical figures when determined. Mensuration is the process of measuring these values.
Mensuration methods for bank examinations are part of a solid preparation approach since they assist applicants to boost their speed and efficiency. It is critical to have mensuration notes for bank examinations to revise quickly. Read on to learn about all of the mensuration formulae for bank examinations that can help you pass the test.
This post is an Introduction to Mensuration and related concepts.
Important Mensuration Topics
Dimensions and Figures
Any material’s dimensions are its length, width, and height, often known as depth. A square has four sides, while a rectangle has four sides plus length and width. Figures are the different shapes and patterns that symbolise any actual or fictitious thing.
As a result, the figures square and rectangle dimensions are four sides and a pair of length and width. The computation of various dimensions of complicated numbers is part of the mensuration syllabus for bank examinations. The bank test mensuration method below can help you recall how to solve your problems:
|Rectangle||2-D||Length and breadth|
|Cube||3-D||Equal length, breadth, and height|
|Cuboid||3-D||Length, breadth, and height|
|Cylinder||3-D||The radius of the base, height|
|Right Circular Cone||3-D||Slant height, the radius of the base|
Volumes and Areas
The many figures occupy space in the surrounding environment. The amount of space occupied by an object is determined by its dimensions.
The area and volume of two-dimensional and three-dimensional figures are used to calculate the amount of space covered. All of the formulae for answering mensuration issues for bank examinations are listed below:
|Cuboid||2(lb bh hl)||l*b*h|
|Right Circular Cone||3.14*r (1 r)||(3.14*r*r*h)/3|
Mensuration Question Preparation Tips
⦁ Learn all of the formulas by heart.
⦁ For computations, always use the same unit scale.
⦁ Try to recall the method for calculating the formulas for various figures based on their measurements.
⦁ When you understand formulae and can calculate in your head, you might attempt bypassing some stages in computations.
Mensuration is essential in the quantitative section of competitive banking and government exams.
⦁ Mensuration issues in bank examinations account for about 5-10% of the total quantitative section weightage. Having a firm grasp of mensuration difficulties for bank examinations might help you effortlessly clear the cut-offs.
⦁ Mensuration subjects in bank examinations employ real-life applications that professionals must comprehend and implement in their positions.
⦁ Mensuration is a high-scoring topic that can help you improve your score.
⦁ Mensuration is simple and basic, making learning and problem solving simple.
Solved examples on Mensuration
- A hall in the shape of a trapezium has an area of 60 m2, the distance between its two parallel sides is 10 m, and the length of one of the parallel sides is 4 m. What is the value of the unknown side?
According to the question, the length of one of the parallel sides of the hall is a = 4m, and height h = 10 m.
We know that the area of this hall = 60 m2.
Formula for trapezium = ½ h (a+b).
So, 60 = ½ × 10 × (4+b) = 5 x (4+b)
=> b= 12- 4= 8m.
- If it is known that the area of a rhombus is 360 cm2 and the value of one diagonal is 24 cm. Find the value associated with the other diagonal of this figure.
Given, the length of one diagonal = 24 cm= l1
Let the other diagonal be l2
The area of the rhombus= Ar= 320.
Area of rhombus is given by- Ar= Area= ½ x (diameter 1 x diameter 2)
=> Ar = ½ x (l1 x l2)= ½ x 24 x l2
=> 360= 12 x l2 => l2= 30 cm.
So, the value of another diagonal of this figure is 30cm.
- A cubical room has dimensions 14 m × 10 m × 6 m. What will be the price of covering all the walls in the paint if the cost of paint per metre square is 5 rupees.
Area of the walls of the cubical = Perimeter of the base × Height of the room
= 2 (l b) × h = 2 (14 10) × 6 = 2 × 24 × 6 = 288 m2
The total price of painting on the walls of the cubicle = Rs. (288 × 5) = Rs. 1440
Mensuration Book Recommendations
The mensuration syllabus for bank examinations is extensive and might require a significant amount of time to study for. However, there is a selection of publications that contain quality material and questions to assist you in succeeding in bank examinations. The books that include mensuration notes for bank examinations are as follows:
|Quantitative Aptitude for Competitive Examinations||R S Aggarwal||This book consists of the best mensuration quiz for bank exams. All the formulas are given on a single page for easy revision.|
|Fast Track Objective Arithmetic||Rajesh Verma||This book contains all the mensuration problems for bank exams. Solutions are provided after every question with an explanation.|
1) In competitive exams, how can we tackle Wall problems?
Ans) The surface area of a cuboid with sides open should be considered as the surface area of the room’s walls. As a result, the formula becomes 2(hl bh), taking only the four sides of the room into consideration.
2) How do we fast address mensuration difficulties in bank exams?
Ans) Mensuration is a scoring topic that can get you extra points if you study it well. The formulae are simple to know and should be memorised. After understanding the formulae, the next stage is to mentally calculate the steps rather than on paper. This will assist you in increasing your speed and completing the online mensuration test for bank examinations.
3) How can we deal with the issue of ice cream cones in bank exams?
Ans) The ice-cream cone problem may be addressed by seeing the cone as the correct circular cone and solving the problem with the slant height of the correct scale.
Mensuration questions have great weightage in entrance and competitive examinations. It is often the chapter with the greatest marks in school exams as well.