Mensuration Formulas
| Mensuration Formulas for 2-Dimensional Figures | ||
| Shape | Area | Perimeter |
| Circle | πr² | 2 π r |
| Square | (side)² | 4 × side |
| Rectangle | length × breadth | 2 (length + breadth) |
| Scalene Triangle | √[s(s−a)(s−b)(s−c), Where, s = (a+b+c)/2 | a+b+c (sum of sides) |
| Isosceles Triangle | ½ × base × height | 2a + b (sum of sides) |
| Equilateral Triangle | (√3/4) × (side)² | 3 × side |
| Right Angled Triangle | ½ × base × hypotenuse | A + B + hypotenuse, where the hypotenuse is √A²+B² |
| Parallelogram | base × height | 2(l+b) |
| Rhombus | ½ × diagonal1 × diagonal2 | 4 × side |
| Trapezium | ½ h(sum of parallel sides) | a+b+c+d (sum of all sides) |
Mensuration Formulas for 3-D Figures
Under 3-D Figures, we can calculate the total surface area which is equal to curved surface area+ area of top and bottom. Curved surface area is also known as lateral surface area, and is measured in square units. Total surface area is also measured in square units whereas volume is measured in cubic units. So, find out the mensuration formulas for 3-D figures such as cone, cylinder, cube, cuboid, sphere, etc.
| Mensuration Formulas for 3-Dimensional Figures | |||
|---|---|---|---|
| Shape | Area | Curved Surface Area (CSA)/ Lateral Surface Area (LSA) | Total Surface Area (TSA) |
| Cone | (1/3) π r² h | π r l | πr (r + l) |
| Cube | (side)³ | 4 (side)² | 6 (side)² |
| Cuboid | length × breadth × height | 2 height (length + breadth) | 2 (lb +bh +hl) |
| Cylinder | π r² h | 2π r h | 2πrh + 2πr² |
| Hemisphere | (2/3) π r³ | 2 π r² | 3 π r² |
| Sphere | 4/3πr³ | 4πr² | 4πr² |
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