Mensuration formulas – Area and Volume

Mensuration formulas – Area and Volume

Area & Volume formulas are one of the most important topics in Mathematics, especially for CBSE exams, competitive exams, and quick revision before tests.
In this blog, you will find a clear and easy Mensuration Formula Chart covering 2D shapes (Area) and 3D solids (Volume).

At Edu-Spot, our aim is to make learning simple, clear, and effective.

mensuration

What is Mensuration?

Mensuration is the branch of mathematics that deals with the measurement of area, volume, and surface area of different geometric shapes.

  • Area → Space covered by a 2D shape

  • Volume → Space occupied by a 3D solid


🔷 Area Formulas (2D Shapes)

1. Square

  • Area = a²
    (a = side)

2. Rectangle

  • Area = l × w
    (l = length, w = width)

3. Triangle

  • Area = ½ × b × h
    (b = base, h = height)

4. Circle

  • Area = πr²
    (r = radius, π ≈ 22/7)

5. Parallelogram

  • Area = b × h

6. Trapezium

  • Area = ½ × (a + b) × h
    (a, b = parallel sides)

7. Rhombus

  • Area = ½ × d₁ × d₂
    (d₁, d₂ = diagonals)

 

Surface Area and Volume Formulas (3D Solids)

🔹 1. Cube

  • Curved Surface Area (CSA) = 4a²

  • Total Surface Area (TSA) = 6a²

  • Volume = a³

(a = side)


🔹 2. Cuboid

  • CSA = 2h(l + w)

  • TSA = 2(lw + lh + wh)

  • Volume = l × w × h

(l = length, w = width, h = height)


🔹 3. Cylinder

  • CSA = 2πrh

  • TSA = 2πr(r + h)

  • Volume = πr²h

(r = radius, h = height)


🔹 4. Cone

  • CSA = πrl

  • TSA = πr(l + r)

  • Volume = ⅓ πr²h

(l = slant height)


🔹 5. Sphere

  • Surface Area = 4πr²

  • Volume = ⁴⁄₃ πr³


🔹 6. Hemisphere

  • CSA = 2πr²

  • TSA = 3πr²

  • Volume = ⅔ πr³


📝 Important Exam Tips

✔ Always write units (cm², m², cm³, m³)
✔ Use π = 22/7 unless mentioned otherwise
✔ Draw a diagram before solving
✔ Check whether CSA or TSA is asked


🎯 Why Surface Area & Volume is Important?

  • High-weightage chapter in exams

  • Based on real-life applications

  • Easy scoring with formula practice

  • Builds strong geometry foundation

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