Mensuration
View Questions of Mensuration
Quantitative Aptitude - Mensuration
Master formulas and techniques for calculating area, volume, surface area, and perimeter of 2D and 3D geometric shapes.
1. 2D Figures
- Rectangle: Area = l × b, Perimeter = 2(l + b)
- Square: Area = a², Perimeter = 4a
- Circle: Area = πr², Circumference = 2πr
- Triangle: Area = ½ × base × height
- Parallelogram: Area = base × height
- Trapezium: Area = ½ × (a + b) × height
2. 3D Figures
- Cuboid: Volume = l × b × h, TSA = 2(lb + bh + hl)
- Cube: Volume = a³, TSA = 6a²
- Cylinder: Volume = πr²h, CSA = 2πrh, TSA = 2πr(h + r)
- Sphere: Volume = (4/3)πr³, Surface Area = 4πr²
- Cone: Volume = (1/3)πr²h, CSA = πrl, TSA = πr(l + r)
- Hemisphere: Volume = (2/3)πr³, CSA = 2πr², TSA = 3πr²
3. Conversion Units
- 1 m² = 10,000 cm²
- 1 m³ = 1,000,000 cm³
4. Strategy
- Memorize key formulas.
- Use correct unit conversions in composite figures.
Summary: Mensuration involves geometric calculation using formula-based reasoning. Accuracy depends on correct substitution and unit discipline.
Topics
- Number System
- H.C.F. & L.C.M.
- Decimal Fractions
- Simplification
- Square Roots & Cube Roots
- Average
- Problems on Numbers
- Problems on Ages
- Surds & Indices
- Percentage
- Operations on Numbers
- Profit & Loss
- Ratio & Proportion
- Partnership
- Chain Rule
- Time & Work
- Pipes & Cistern
- Time & Distance
- Problems on Trains
- Boats & Streams
- Alligation or Mixture
- Simple Interest
- Compound Interest
- Logarithms
- Area
- Volume & Surface Areas
- Mensuration
- Races & Games of Skill
- Calendar
- Clocks
- Stocks & Shares
- Permutations & Combinations
- Probability
- True Discount
- Banker’s Discount
- Heights & Distances
- Odd Man Out & Series
- Algebra
- Divisibility Rules & Remainder Theorem
- Factorials & Power Cycles
- Progressions (A.P., G.P., H.P.)
- Work & Wages
- Set Theory / Venn Diagrams
- Geometry (Lines, Angles, Triangles, Polygons)
- Coordinate Geometry
- Data Interpretation
- Trigonometry
- Statistics (Mean, Median, Mode)
- Arithmetic Operations
- Quadratic Equations