Quant Booster Dose – Mensuration Questions PDF
Mensuration Questions & Formulas PDF with Answers for government exams like SSC, Railways, Banking, FCI, CWC, Insurance Exams, UPSC, and other state PCS exams. As we all know in many competitive exams in Quantitative Aptitude/ Numerical Ability subject Mensuration Questions asked repeatedly, so you cannot ignore the Mensuration Questions PDF.
As questions are based on previous year papers, there are chances that candidates will find many questions from the Mensuration Questions with Answers PDF in all competitive Exams. If you check the last 4-5 year’s papers of SSC, Railways and Banking Exams, you will find that many different types of Mensuration questions are asked. Today we have compiled “950+ Mensuration Questions PDF with Answers for SSC, Railway & Banking Exam”. You can download Free Mensuration Questions with Solution so that you get all the important questions at one place. And it will become very easy for you guys to revise them.
Mensuration Formulas & Questions PDF for SSC, Railways and Banking Exams
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Mensuration Questions with Answers | Download Free PDF
What is Mensuration?
As per the definition ‘Measuring the area of surface, length of lines and volumes with the provided data is counted in Mensuration’. Mensuration is used to measure the important physical quantities of geometrical figures. Mensuration entails the use of mathematical formulas and algebraic equations to do calculations. It is also the measurement procedure based on algebraic equations and mathematical formulas. It deals with the area, length and volume of shapes like 2d and 3D.
Difference Between 2D and 3D shapes
2D shape | 3D shape |
If any shape is surrounded by three or more straight lines in a plane, then it is known as a 2D shape. | If any shape is surrounded by a no. of surfaces or planes then it is known to be a 3D shape. |
These 2D shapes have no height or depth. | These 3D shapes are also known as solid shapes and unlike 2D shapes they have both height or depth. |
We can measure the area and perimeter of 2D shapes. | We can measure their volume, CSA, LSA or TSA of 3D shapes. |
Important Mensuration Terminologies
Terms | Abbreviation | Unit | Definition |
Area | A | m2 or cm2 | The area is called the surface occupied by a defined closed region. It is defined by the letter A and expressed in a square unit. |
Perimeter | P | m or cm | The total length of the boundary of a figure is called its perimeter. Perimeter is determined by only two-dimensional shapes or figures. It is the continuous line along the edge of the closed vessel. It is represented by P and measures are taken in a square unit. |
Volume | V | m3 or cm3 | The width of the space contained in a three-diMensional closed shape or surface, such that, the area by a room or cylinder. Volume is denoted by the alphabet V and the SI unit of volume is the cubic meter. |
Curved Surface Area | CSA | m2 or cm2 | The curved surface area is the area of the only curved surface, ignoring the base and the top such as a sphere or a circle. The abbreviation for the curved surface area is CSA. |
Lateral Surface area | LSA | m2 or cm2 | The total area of all of a given figure’s lateral surfaces is called the Lateral Surface Area. Lateral surfaces are the layers covering the artefact. The acronym for the lateral surface area is LSA. |
Total Surface Area | TSA | m2 or cm2 | The calculation of the total area of all surfaces is called the Cumulative Surface Region in a closed shape. For example, we get its Total Surface Area in a cuboid by adding the area of all six surfaces. The acronym for the total surface area is TSA. |
Square Unit | – | m2 or cm2 | One square unit is simply the one-unit square area. When we quantify some surface area, we relate to the sides of one block square to know how many of these units will fit in the figure given. |
Cube Unit | – | m3 or cm3 | One cubic unit is the one-unit volume filled by a side cube. When we calculate the volume of any number, we refer to this cube of one unit and how many these component cubes will fit in the defined closed form. |
Mensuration Formulas for 2D Shapes:
As our introduction to Mensuration and the relevant words are over, let’s switch to the equations for Mensuration, as this is a discussion focused on an equation. The 2D figure has a list of formulas of measurement that define a relationship between the various parameters. Let’s look into detail about the estimation equations of some kinds.
Shape | Perimeter | Area |
Square | 4a | a2 |
Rectangle | 2(l + b) | l x b |
Circle | 2π r | π r2 |
Triangle | b + hypotenuse + h | ½ × b × h |
Rhombus | 4 × side | ½ × d1 × d2 |
Parallelogram | 2(l + b) | b x h |
Trapezium | a+b+c+d | ½ h(a+b) |
Mensuration Formulas for 3D Shapes
The 3D figure has a list of formulas for measurement that define a relationship between the various parameters. Let’s look into the details about the estimation equations of some kinds.
Shape | Volume (Cubic units) | Curved Surface Area (CSA) or Lateral Surface Area (LSA) (Square units) | Total Surface Area (TSA) (Square units) |
Cube | a3 | LSA = 4 a2 | 6 a2 |
Cuboid | l × b × h | LSA = 2h (l + b) | 2 (lb +bh +hl) |
Sphere | (4/3) π r3 | 4 π r2 | 4 π r2 |
Hemisphere | (⅔) π r3 | 2 π r2 | 3 π r2 |
Cylinder | π r2 h | 2π r h | 2πrh + 2πr2 |
Cone | (⅓) π r2 h | π r l | πr (r + l) |
Why Quantitative Aptitude Mensuration Questions PDF is Important for Exams?
- All the questions prepare by Exams experts.
- The practice questions covered are across the levels i.e. Easy, Moderate, and Difficult.
- Provides a detailed approach to the solution of each question.
- Focuses on all the new patterns and advanced-level type questions.
- Mensuration Questions PDF boosts confidence and reduces pre-exam jitters by regularly attempting a variety of questions and tackling the difficulty level expected in the final exam.
This Quant Booster Dose Mensuration Questions PDF is useful for the upcoming Banking and Insurance exams i.e. IBPS PO, SBI PO, Clerk, IBPS RRB PO & Clerk, RBI Assistant, RBI Grade B, NABARD, LIC AAO, SSC (CGL, CHSL, MTS, CPO, and Constable), Railway RRB (NTPC, Group D, JE, ALP) & Other Government Exams.
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