Basic Formulas of Mensuration
The following are the formulas relevant to Mensuration questions:
Mensuration Formulas for 2-Dimensional Figures
| S.No | Shape | Area | Perimeter |
|---|---|---|---|
1 |
Circle |
πr² |
2 π r |
2 |
Square |
(side)² |
4 × side |
3 |
Rectangle |
length × breadth |
2 (length + breadth) |
4 |
Scalene Triangle |
√[s(s−a)(s−b)(s−c)Where, s = (a+b+c)/2 |
a+b+c (sum of sides) |
5 |
Isosceles Triangle |
b/2(√a^2 - b^2/4) |
2a + b (sum of sides) |
6 |
Equilateral Triangle |
(√3/4) × (side)² |
3 × side |
7 |
Right Angled Triangle |
½ × base × hypotenuse |
A + B + hypotenuse, where the hypotenuse is √A²+B² |
8 |
Parallelogram |
base × height |
2(l+b) |
9 |
Trapezium |
½ h (sum of parallel sides) |
a+b+c+d (sum of all sides |
10 |
Rhombus |
½ × diagonal 1 × diagonal 2 |
4 × side |
Mensuration Formulas for 3-D Figures
| S.No | Shape | Volume | Curved Surface Area (CSA)/ Lateral Surface Area | Total Surface Area (TSA) |
|---|---|---|---|---|
1 |
Cone |
(1/3) π r² h |
π r l |
πr (r + l) |
2 |
Cube |
(side)³ |
4 (side)² |
6 (side)² |
3 |
Cuboid |
length × breadth × height |
2 height (length + breadth) |
2 (lb +bh +hl) |
4 |
Cylinder |
π r² h |
2π r h |
2πrh + 2πr² |
5 |
Hemisphere |
(2/3) π r³ |
2 π r² |
3 π r² |
6 |
Sphere |
4/3πr³ |
4πr² |
4πr² |
Quick Tip: Do you know? You can learn Mensuration formulas quickly if you first understand the fundamental concepts of Mensuration.
FAQsFAQs
How do you benefit from learning Mensuration formulas?
One of the significant benefits of understanding Mensuration formulas is the capability to quickly and accurately address simple formula-based questions.
How to remember Mensuration formulas for a longer time?
Following are the techniques you can use to memorise Mensuration formulas:
For a start, you can start understanding the concepts of the Mensuration. It will help you find out why a formula is used.
Keep a separate piece of paper and write down each formula on the Mensuration topic you need to memorise.
Write down and examine each Mensuration formula, but this time with intervals. Write the equation, then take a 2-minute break to think about it before writing it again.
Your memory is more likely to associate with the formula you want to remember if you use it more often. Solve the problems employing the formula.
Visualise and repeat out loud the formula occasionally. Create Mensuration formulas flashcards to help with this. You can also use these flashcards while practicing the Mensuration questions.
The formula should be written down and posted somewhere you will see daily. They'll be subconsciously imprinted into your memory.
How conceptual understanding of Mensuration topic helps in remembering its formulas?
Conceptual understanding will help you to make sense of the Mensuration formulas. Conceptual understanding is concentrated on describing why things happen as opposed to how to make them happen. They help you understand the true motive for employing the Mensuration formulas.
