# Mensuration Formula, Definition, Rules, Sample Questions, Tips and FAQs

Quantitative Aptitude Prep Tips for MBA 2024

12K Views
This chapter has multiple topics listed below:

Vipra ShrivastavaSenior Manager - Content

Updated on Feb 5, 2024 18:44 IST

## What is Mensuration?

Mensuration can be defined as the measurement of geometric figures such as quadrilaterals, their areas, perimeter, surface areas, and volumes. It is a very important topic in CAT and other MBA entrance exams. Mensuration questions are also asked in other competitive exams, so if you are preparing for any entrance or competitve exam, then you must prepare Mensurarion thoroughly.

## Mensuration Formulas

Trapezium:

A trapezium is outlined by a form that has 2 parallel sides and the other 2 are nonparallel. It has four sides and four vertices.

Â

Shape

Area

Perimeter

1. Trapezium

Area= (1/2) H + (AB+CD)

P= sum of all the sides i.e. AB+BC+CD+AD

Area= Area of â–³ABC + Area of â–³ADC

The perimeter depends on the type of shape which is present

Â½ Ã— d1 Ã— d2

P=4a

Where, H= height, W= breadth, a,b,c,d= sides, d= diagonals.

Surface area: It is the the total area of all the surfaces of any form.

Volume: the degree is outlined by the number any third-dimensional form takes.

Measurement of a cuboid

Solid shapes:

Solid shapes are measured by their three-dimensional structure with outlined breadth, height and length. A cube, sphere, cylinder, cuboid are solid shape examples.

Â

Shape

Surface area

Volume

1.Â  Â  Cube

Area= 6a^2

V= a^3

2.Â  Â  Cuboid

Area= 2 [(l Ã— b) + (lÃ— h) + (bÃ— h)]

V= l*w*h

3.Â  Â  Cylinder

Ares= 2Ï€r (r + h)

V= Ï€r2 Ã— h

Where, H= height, a= sides, r= radius, d= diameter, b= breadth, w= width

## Illustrated Examples of Mensuration Formulas

Example 1: Calculate the area of a rhombus whose diagonals are 10 cm and 8.2 cm of length.Â

Ans: The formula for calculating area of a rhombus = Â½ d1d2, (d1 and d2 are the lengths of the diagonal)

a= 2 Ã— 10 Ã— 8.2 cm2 = 41 cm2.

Example 2: A rhombus with an area of 240cm2 and whose one diagonal is of length 16 cm. Find the other diagonal.

Ans: We know d1 = 16 cm and let the other diagonal = d2

Thus the area of the rhombus = 2 d1 . d2 = 240

So, Â½ 16 d2 = 240

Therefore, d2= 30cm

Diagonal 2 is 30 cm.

Example 3: A cuboid-shaped aquarium is a present whose external measurements are of 80 cm Ã— 30 cm Ã— 40 cm. The base, side faces and back face are to be covered with a coloured paper. Find the area of the paper needed?

Ans: The length of the aquarium = l = 80 cm

Width of the aquariumÂ  (b) = 30 cm

Height of the aquariumÂ  (h) = 40 cm

Thus the area of the base = 80 Ã— 30 = 2400 cm2

Area of the side face = 30 Ã— 40 = 1200 cm2 &

Area of the back face = 80 Ã— 40 = 3200 cm2

Thus area required to be calculated = Area of the base + area of the back face + (2 Ã— area of a side face)

=Â  2400 + 3200 + (2 Ã— 1200) = 8000 cm2

## CAT Quantitative Aptitude Questions for Practice with Solutions

 Quant Easy Test Quant Easy Test Solution Quant-Medium Test Quant Medium Test Solutions Quant Difficult Test Quant Difficult Test Solution
 CAT Quant Easy TestÂ CAT Quant Easy Test Solutions CAT Quant Medium Test CAT Quant Medium Test Solutions CAT Quant Difficult Test CAT Quant Difficult Test Solutions
 Quant Easy Test Quant Easy Test Solution Quant-Medium Test Quant Medium Test Solutions Quant Difficult Test Quant Difficult Test Solution

## FAQs Related to Mensuration and Mensuration Formulas

Q: What is the formula of the area of a cube?

A: The Formula for area of sq. can be: Area=6a^2 Where a= sides of the cube

Q: What is the area of the quadrilateral?

A: The area of the quadrilateral depends on the form of that specific quadrilateral. Example: area of general quadrilateral = space of â–³ABC + Area of â–³ADC.

Q: What is the height of a cylindrical structure?

A: The height of a cylinder is calculated by multiplying the world of the cylinderâ€™s base (the circle) with its height.

Q: How many edges and faces will a cuboid have?

A: A cuboid has 6 faces, 12 edges.

Q: What is the area of a cuboid?

A: Surface area= Area= two [(l Ã— b) + (lÃ— h) + (bÃ— h)] Where, l= length, h=height, b= breadth

Latest NewsPopular News

### CUET Previous Year Question Papers PDFs Out (2023, 2022): Get Direct Link

Shruti GargFeb 25, 2024 18:31 IST

### List Of Documents Required For CUET Application Form 2024

Shruti GargFeb 25, 2024 18:31 IST

### How to Fill CUET Application Form 2024? Get Complete Step by Step Guide for CUET Registrations

Shruti GargFeb 25, 2024 18:30 IST

### Domain Subjects in CUET 2024; Check Complete List, Course Mapping Criteria

Shruti GargFeb 25, 2024 18:28 IST

### CUET Syllabus 2024: Download PDF for Commerce, Science and Arts Subjects

Shruti GargFeb 25, 2024 18:27 IST

### CUET Eligibility Criteria 2024: CUET Age Limit, University- Wise UG Degree Requirement & Qualification

Shruti GargFeb 25, 2024 18:26 IST

### JEE Main 2024 Marks vs Percentile vs Rank: Calculate Percentile and Rank Using Marks

Satyendra SinghFeb 19, 2024 13:12 IST

### List of NIT Colleges in India 2024 - NIRF Ranking, Courses, Seats, Cutoff, Fees and Placement

Satyendra SinghFeb 15, 2024 15:43 IST

### NEET Chapter Wise Weightage 2024 PDF by NTA: Physics, Chemistry & Biology

Sreetama Datta RoyJan 30, 2024 15:06 IST

### List of Top IITs in India 2024: NIRF Ranking, Courses, Seats, Fees & Placement

Satyendra SinghDec 20, 2023 14:37 IST

### JEE Main 2024 Chapter wise Weightage: Physics, Chemistry & Mathematics

Satyendra SinghFeb 19, 2024 13:13 IST

## Explore top Mensuration Formula exams

 21 Dec '23 CAT 2023 result announcement 5 Dec '23 - 8 Dec '23 CAT 2023 answer key challenge
 9 Mar '24 - 10 Mar '24 MAH MBA CET 2024 exam Mar '24 MAH MBA CET admit card 2024 do...
 25 Feb '24 MAT 2024 PBT 23 Dec '23 - 29 Feb '24 MAT 2024 Registration IBT 2
 4 Mar '24 - 26 Mar '24 CUET PG 2024 Advance City Inti... 7 Mar '24 - 10 Mar '24 CUET PG 2024 Admit Card
 17 Feb '24 Reporting at allotted college ... 14 Feb '24 - 16 Feb '24 Payment of fees and download o...
 Feb '24 XAT 2023 Cut Offs Release 20 Jan '24 XAT 2024 result
 Feb '24 CMAT 2024 registration and app... Mar '24 CMAT 2024 form correction
 21 Feb '24 - 9 Mar '24 TANCET Admit Card Download 9 Mar '24 TANCET Exam Date for MBA & MCA
 10 Jan '24 SNAP 2023 result announcement 22 Dec '23 SNAP 2023 session 3
 Feb '24 SRCC GBO 2024: Answer Key Rele... Apr '24 SRCC GBO 2024 results
 Mar '24 OJEE 2024 Last Date of Registr... 16 Mar '24 - 17 Mar '24 OJEE 2024 Application Form Cor...
 11 Jan '24 - 15 Jan '24 NMAT Exam (Additional Phase) 5 Jan '24 - 10 Jan '24 NMAT Scheduling (Additional P...
 3 Mar '24 KMAT Kerala 2024 (Session 1) Jun '24 KMAT Kerala 2024 Online Regist...
 12 Feb '24 Declaration of X-GMT Result 9 Feb '24 X-GMT Rescheduled Exam Date 20...
 20 Feb '24 - 30 Mar '24 JMI Entrance Exam 2024 Applica... 4 Apr '24 - 10 Apr '24 JMI Entrance Exam 2024 Applica...
 7 Mar '24 - 30 Apr '24 TSICET Registration (Without L... 1 May '24 - 17 May '24 TSICET Registration (With Late...
 11 May '24 ATMA 2024 May Session 23 Jun '24 ATMA 2024 June Session
 Mar '24 APICET 2024 Registration Proce... 6 May '24 AP ICET 2024 Exam
The list of exams are recommended based on what other exams do the students in your area show interest in

Quantitative Aptitude Prep Tips for MBA Exam

### Student Forum

Anything you would want to ask experts?
Write here...