Module 2 · SSC GD Mathematics
Mensuration
Area, volume, surface area.
Triangles · Circles · Cylinders · Spheres
Learning Objectives
- Understand the fundamental concepts of Mensuration
- Apply key formulas and techniques to solve problems
- Practice with exam-level questions to build speed and accuracy
Key Concepts
Mensuration for SSC GD & Agniveer
Mensuration deals with measurement of geometric figures — area, perimeter, volume, and surface area. These questions appear in SSC GD and Agniveer mathematics and require knowledge of formulas for 2D and 3D shapes.
Key Concepts
2D Shapes: Square (area = side², perimeter = 4×side). Rectangle (area = l×b, perimeter = 2(l+b)). Triangle (area = ½×base×height). Circle (area = πr², circumference = 2πr). 3D Shapes: Cube (volume = side³, SA = 6×side²). Cuboid (volume = l×b×h, SA = 2(lb+bh+hl)). Cylinder (volume = πr²h, CSA = 2πrh). Sphere (volume = 4/3 πr³, SA = 4πr²). Cone (volume = 1/3 πr²h, SA = πrl).
Solved Examples
Example 1
Find the area of a circle with radius 7 cm. (π=22/7)
a) 144 cm² b) 154 cm² c) 164 cm² d) 174 cm²
a) 144 cm² b) 154 cm² c) 164 cm² d) 174 cm²
Solution: b) 154 cm². Area = (22/7)×7×7 = 154 cm².