Important formulas for Mensuration in Grade 6

 Here are some important formulas for Mensuration in Grade 6:

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1. Perimeter Formulas

(Perimeter = Sum of all sides)

• Square: $P = 4 \times \text{Side}$
• Rectangle: $P = 2 \times (\text{Length} + \text{Breadth})$
• Triangle: $P = a + b + c$ (Sum of all three sides)
• Circle (Circumference): $C = 2\pi r$ or $C = \pi d$
  ($\pi \approx 3.14$, $r =$ radius, $d =$ diameter)

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2. Area Formulas

• Square: $A = \text{Side}^2$
• Rectangle: $A = \text{Length} \times \text{Breadth}$
• Triangle: $A = \frac{1}{2} \times \text{Base} \times \text{Height}$
• Parallelogram: $A = \text{Base} \times \text{Height}$
• Trapezium: $A = \frac{1}{2} \times (\text{Sum of Parallel Sides}) \times \text{Height}$
• Circle: $A = \pi r^2$

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3. Volume Formulas (For 3D Shapes)

• Cube: $V = \text{Side}^3$
• Cuboid: $V = \text{Length} \times \text{Breadth} \times \text{Height}$
• Cylinder: $V = \pi r^2 h$
• Sphere: $V = \frac{4}{3} \pi r^3$

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4. Surface Area Formulas

• Cube: $SA = 6 \times \text{Side}^2$
• Cuboid: $SA = 2 (lb + bh + hl)$
• Sphere: $SA = 4 \pi r^2$
• Cylinder: $SA = 2\pi r(h + r)$

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