Mensuration

In mensuration, students learn how to calculate the surface area and volume of 3D shapes such as pyramids, cones, and spheres. This topic focuses on understanding the formulas and applying them correctly to solve problems involving real-life objects. Mastering these concepts helps students visualise shapes better and build confidence in geometry.

Volume And Surface Area Of Pyramid

\(Volume = \frac{1}{3} \times \text{base area} \times \text{height}\)

\(\text{Surface Area} = \text{Base area} + \text{Area of all lateral faces}\)

Surface Area & Volume Of Cone

\(\text{Volume} = \frac{1}{3} \times \pi r^2 \times h\)

\(\text{Slant height: } l = \sqrt{h^2 + r^2}\)

\(\text{Curved surface area} = \pi r l\)

Surface Area & Volume Of Sphere

\(\text{Volume of sphere} = \frac{4}{3} \pi r^3\)

\(\text{Surface area of sphere} = 4 \pi r^2\)

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