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.
Related Lessons:
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
\(\text{Volume of sphere} = \frac{4}{3} \pi r^3\)
\(\text{Surface area of sphere} = 4 \pi r^2\)
Mensuration Example 1
Calculate the volume and surface area of the pyramid with square base of length 20cm, and height 13cm.
Mensuration Example 2
Calculate the volume and surface area of a solid cone of radius 3cm and height 15cm.
Mensuration Example 3
Calculate the volume and surface area of the sphere and closed-hemisphere with radius 5cm.