Mensuration formulas · क्षेत्रमिति सूत्र
Area, perimeter, volume and surface area — the whole chart, then practise.
Mensuration formulas games
Mensuration formulas
| Shape | Area / volume | Perimeter / surface area |
|---|---|---|
| Square | Area = side × side = a² | Perimeter = 4a |
| Rectangle | Area = length × breadth = l × b | Perimeter = 2(l + b) |
| Triangle | Area = ½ × base × height | Perimeter = sum of the three sides |
| Parallelogram | Area = base × height | Perimeter = 2(a + b) |
| Rhombus | Area = ½ × d₁ × d₂ | Perimeter = 4a |
| Trapezium | Area = ½ × (sum of parallel sides) × height | Perimeter = sum of the sides |
| Circle | Area = πr² | Circumference = 2πr |
| Cube | Volume = a³ | Total surface area = 6a² |
| Cuboid | Volume = l × b × h | Total surface area = 2(lb + bh + hl) |
| Cylinder | Volume = πr²h | Curved surface area = 2πrh; total = 2πr(r + h) |
| Cone | Volume = ⅓πr²h | Curved surface area = πrl (l = slant height) |
| Sphere | Volume = ⁴⁄₃πr³ | Surface area = 4πr² |
| Hemisphere | Volume = ⅔πr³ | Total surface area = 3πr² |
Units: length in cm or m, area in cm² or m², volume in cm³ or m³. 1 litre = 1000 cm³. Use π = 22/7 or 3.14.
For Class 6 to 10. Calculation answers are computed by a program.
A one-page chart to stick on the wall, and a worksheet to practise.
Mensuration formulas
| Shape | Area / volume | Perimeter / surface area |
|---|---|---|
| Square | Area = side × side = a² | Perimeter = 4a |
| Rectangle | Area = length × breadth = l × b | Perimeter = 2(l + b) |
| Triangle | Area = ½ × base × height | Perimeter = sum of the three sides |
| Parallelogram | Area = base × height | Perimeter = 2(a + b) |
| Rhombus | Area = ½ × d₁ × d₂ | Perimeter = 4a |
| Trapezium | Area = ½ × (sum of parallel sides) × height | Perimeter = sum of the sides |
| Circle | Area = πr² | Circumference = 2πr |
| Cube | Volume = a³ | Total surface area = 6a² |
| Cuboid | Volume = l × b × h | Total surface area = 2(lb + bh + hl) |
| Cylinder | Volume = πr²h | Curved surface area = 2πrh; total = 2πr(r + h) |
| Cone | Volume = ⅓πr²h | Curved surface area = πrl (l = slant height) |
| Sphere | Volume = ⁴⁄₃πr³ | Surface area = 4πr² |
| Hemisphere | Volume = ⅔πr³ | Total surface area = 3πr² |
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Mensuration — worksheet
Name: ____________________ Class: ______ Date: __________
1. Area of a rectangle 12 m × 8 m = ______ Perimeter = ______
2. Area of a triangle, base 10 cm, height 6 cm = ______
3. Circumference of a circle, r = 14 cm (π = 22/7) = ______
4. Volume of a cuboid 10 × 5 × 4 cm = ______ TSA = ______
5. Volume of a cylinder, r = 7 cm, h = 10 cm = ______
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