Formulas of Volume and Surface Area
The table given below contains different shapes, types, dimensions, perimeter, Total Surface Area, Curved Surface Area/Lateral Surface Area, Volume, and their physical representation :
| Name of the Shape | Type | Dimensions | Perimeter | Curved Surface Area | Total Surface Area | Volume | Shape |
|---|---|---|---|---|---|---|---|
| Triangle | 2 D | 3 Sides | a+b+c | — | 1/2 h.b | — | |
| Square | 2 D | 4 Equal Side | 4b | — | b2 | — | |
| Rectangle | 2 D | Length and Breadth | 2(h+w) | — | h.w | — | |
| Trapezium | 2 D | 4 Different Sides, Perpendicular | a+b+c+d | — | 1/2(a+b).h | — | |
| Parallelogram | 2 D | Two Sides, Perpendicular | 2(a+b) | — | b.h | — | |
| Circle | 2 D | Radius | 2πr | — | πr2 | — | |
| Eclipse | 2 D | 2 Axis | 2π√(a2 + b2)/2 | — | πa.b | ||
| Cube | 3 D | Length = Breadth = Height | 6a | 4a2 | 6a2 | a3 | |
| Cuboid | 3 D | Length, Breadth and Height | 4(l+b+h) | 2(lb+lh+hb) | 2h(l+b) | l.b.h | |
| Cylinder | 3 D | Radius of the Base, Height | 2πr(r+h) | 2πrh | πr2h | ||
| Sphere | 3 D | Radius | — | 4πr2 | 4πr2 | 4πr3/3 | |
| Hemisphere | 3 D | Radius | 4πr2 | 3πr2 | 2πr3/3 | ||
| Right Circular Cone | 3 D | Slant Height & Radius of the Base | πrl | πr(r+l) | 1/3 πr2h |
Volume and Surface Area – Aptitude Question and Answer
Volume and Surface area topics are very crucial topics for any exam that has Quantitative Aptitude section in their exam pattern. One such National exam is SSC CGL, Every year you can witness at least one question from this topic and as we all know, in any government exam, even a single mark can make a huge difference in ranking or clearing the cut-off.
In this article, we will cover everything you need to know about calculating the volume and surface area of various shapes and objects, along with tips and tricks to solve related questions quickly and accurately. With our comprehensive guide, you’ll be well on your way to acing the quantitative section of SSC CGL! Whether you are a beginner or an advanced learner, this article will help you to enhance your understanding of the topic and improve your performance in the exam. So, let’s dive into the world of Volume and Surface Area!
Table of Content
- Understanding the Basics of Volume and Surface Area in Quantitative Aptitude
- What is Volume?
- Formulas of Volume and Surface Area
- How to Calculate Volume and Surface Area: Step-by-Step Guide
- Tips and Tricks to Master Volume and Surface Area Questions in Competitive Exams
Volume and Surface Area