Banking Notes / Quantitative Aptitude / Chapter 24
Chapter 24 of 26

Mensuration (2D & 3D)

Area, perimeter, volume and surface area formulas for every standard 2D and 3D shape tested in bank exams — organised for quick recall.

📖 ~10 min read 🏦 Banking Quantitative Aptitude

Introduction

Mensuration is a formula-heavy, high-accuracy chapter: 2D shapes test area and perimeter; 3D shapes test volume and surface area. Since it's mostly direct formula application, accuracy in memorisation matters more than technique.

2D Shapes

ShapeAreaPerimeter
Squareside²4×side
Rectanglelength×breadth2(length+breadth)
Triangle½×base×heightsum of sides
Circleπr²2πr (circumference)
Trapezium½×(sum of parallel sides)×heightsum of all sides

3D Shapes

ShapeVolumeTotal Surface Area
Cubeside³6×side²
Cuboidl×b×h2(lb+bh+hl)
Cylinderπr²h2πr(r+h)
Cone⅓πr²hπr(r+l), where l = slant height
Sphere4/3 πr³4πr²
Q. Find the volume of a cylinder with radius 7 cm and height 10 cm. (Use π = 22/7)
Volume = πr²h = (22/7) × 7² × 10 = (22/7) × 49 × 10 = 22×7×10 = 1,540 cm³.
Q. The length and breadth of a rectangle are 15 m and 8 m. Find its area and perimeter.
Area = 15×8 = 120 m². Perimeter = 2(15+8) = 2×23 = 46 m.
⚠️ Key Insight: Total Surface Area includes ALL faces (including top/bottom); Curved/Lateral Surface Area excludes the flat top and bottom — read the question carefully to know which one is asked.
✅ Practice Focus: Direct area/volume/surface area formula recall · Word problems converting real objects (tanks, rooms, pipes) into standard shapes · π = 22/7 vs 3.14 usage based on the numbers given.

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