Volume & Surface Areas
View Questions of Volume & Surface Areas
Quantitative Aptitude - Volume & Surface Areas
1. Volume Formulas
- Cuboid: \( lwh \); Cube: \( a^3 \)
- Cylinder: \( \pi r^2 h \); Sphere: \( \frac{4}{3} \pi r^3 \)
- Cone: \( \frac{1}{3} \pi r^2 h \); Hemisphere: \( \frac{2}{3} \pi r^3 \)
2. Surface Area Formulas
- Cuboid total: \( 2(lw + lh + wh) \)
- Cube: \( 6a^2 \)
- Cylinder total: \( 2\pi r (r + h) \)
- Sphere: \( 4\pi r^2 \); Hemisphere: \( 3\pi r^2 \)
- Cone: \( \pi r (r + l) \), where l = slant height.
3. Quick Tips
- Always match units (cm³, m²).
- Simplify using \( \pi ≈ 22/7 \) when divisible.
4. Mistakes to Avoid
- Mixing radius with diameter.
- Using volume formulas for surface area problems.
5. Revision Checklist
- Memorize volume and surface area formulas.
- Practice conversion between units (cm³ to m³).
Summary: Use correct formula set, check units, factor π appropriately, and break composite solids into parts if needed.
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