Mensuration
Mensuration deals with measurement of areas, perimeters, surface areas, and volumes of geometric figures. It is a high-weightage topic in competitive exams.
Fundamental Principles
Perimeter
Total boundary length of a 2D shape.
Area
Surface covered by a 2D shape.
Volume
Space occupied by a 3D object.
Surface Area
Total area of all faces of a 3D object.
Essential Formulation Tips
- Memorize all standard formulas (square, circle, cylinder, cone, sphere).
- Use π = 22/7 or 3.14 depending on question.
- Convert units properly (cm, m, etc.).
- Break complex shapes into simpler ones.
Shortcut Execution Techniques
- Circle area = πr², circumference = 2πr.
- Cylinder volume = πr²h.
- Cone volume = (1/3)πr²h.
- Sphere volume = (4/3)πr³.
Contextual Inquiries (FAQs)
Q: What is the most important mensuration formula?
A:
Q: How to solve mensuration questions quickly?
A:
Example Breakdown: Area of Circle Example
Basic concept.Area = πr².
= 22/7 × 7 × 7 = 154.
Final Answer: 154 cm².
Example Breakdown: Volume of Cylinder
Important exam question.Volume = πr²h.
= 22/7 × 49 × 10 = 1540.
Final Answer: 1540 cm³.
Example Breakdown: Surface Area of Cube
Common question.Surface area = 6a².
= 6 × 25 = 150.
Final Answer: 150 cm².
Mensuration Practice Questions
Solve important mensuration questions for banking, SSC, CMAT, and placement exams.
Q1. Find perimeter of circle with radius 7 cm.
Q2. Find volume of cube with side 3 cm.
Q3. Find area of rectangle 8 × 6.