Mensuration — Study Notes for UP Police Constable

Overview

Mensuration is the branch of mathematics dealing with measurement of geometric figures — their lengths, areas, surface areas and volumes. In UP Police Constable exam, this topic typically yields 3–5 questions and tests your ability to apply standard formulas to practical scenarios like finding costs of painting walls, carpeting floors, filling tanks, or comparing quantities.

Success in mensuration requires two skills: accurate recall of formulas and careful attention to units. The exam favours straightforward problems — you're rarely asked to derive formulas or solve complex multi-step geometry. Instead, questions test whether you can identify the correct shape, plug values into the right formula, and perform arithmetic correctly. Common question types include finding area given dimensions, calculating volume of containers, determining perimeter for fencing problems, and cost-based word problems that multiply area/volume by rate per unit.

Master the formulas for rectangles, squares, circles, triangles, cubes, cuboids, cylinders, cones and spheres. Practice unit conversions (m to cm, litre to m³) and recognize that careless calculation errors cost more marks in mensuration than lack of conceptual understanding.