Mensuration Formulas
We are going to share Mensuration Formulas for the student who is studying in the class of 5, 6, 7, 8, 9, 10, 11, and 12. In math, Mensuration is a very important topic which is helping to improve scores in the exam. If you want to become very intelligent in math then you should remember the Mensuration Formulas to resolve Mensuration related problems. If you have any questions related to the Mensuration please let me know through the comment and mail. There are millions of students looking for Mensuration formulas that why we shared the Mensuration formulas below.
2D Shapes Mensuration Formulas
| \[\ Area\;of\;Square = l^{2} \] \[\ Perimeter\;of\;Square = 4 \times l \]Where, l : length of side |
| \[\ Area\;of\;Rectangle = l \times w \] \[\ Perimeter\;of\;Rectangle = 2 (l+w) \]Where, L = Length w = Width |
| \[\ Area\;of\;Circle = \pi r^{2} \] \[\ Perimeter\;of\;Circle = 2 \pi r \]Where, 𝒓 = Radius d = Diameter d = 2𝒓 |
| \[\ Area\;of\;Scalene\;Triangle = \sqrt{s(s-a)(s-b)(s-c)} \] \[\ Perimeter\;of\;Scalene\;Triangle = a+b+c \]Where, a, b, c are Side of Scalene Triangle |
| \[Area\;of\;Isoscele\;Triangle =\frac{1}{2}bh\]
\[Altitude\;of\;an\;Isosceles\;Triangle=\sqrt{a^{2}-\frac{b^{2}}{4}}\] Where, \[\large Perimeter\;of\;Isosceles\;Triangle,P=2\,a+b\] Where, |
|
\[ Area \;of \;an \;Right\;Triangle = \frac{\sqrt{1}}{2}bh\] \[ Perimeter \;of \;an \;Right \;Triangle = a+b+c\] \[ semi\;Perimeter \;of \;an \;Right \;Triangle = \frac{a+b+c}{2}\] where, |
|
\[ Area \;of \;an \;Equilateral \;Triangle = \frac{\sqrt{3}}{4}a^{2}\] \[ Perimeter \;of \;an \;Equilateral \;Triangle = 3a\] \[ Semi \;Perimeter \;of \;an \;Equilateral \;Triangle = \frac{3a}{2}\] \[ Height \;of \;an \;Equilateral \;Triangle = \frac{\sqrt{3}}{2}a\] Where, |
| \[\large perimeter\;of\;a\;rhombus =4\times Side\] \[\large Area\;of\;a\;Rhombus = A = \frac{1}{2} \times d_{1} \times d_{2}\] Where, d1 and d2 are the diagonals of the rhombus bisect each other 90-degree angle. |
| \[\ Area\;of\;a\;Parallelogram = b\times h\] \[\ Perimeter\;of\;Parallelogram = 2\left(b+h\right)\] Where, b: Base h: Height. |
| \[\large Perimeter\;of\;a\;Trapezoid\;=a+b+c+d\]
Where, \[\large Area\;of\;a\;Trapezoid\; = \frac{1}{2} \times h \times (a + b)\] |
Check More 2D Shapes Mensuration Formulas
3D Shapes Mensuration Formulas
| \[\large Surface\;area\;of\;Cube=6a^{2}\] \[\large Volume\;of\;a\;cube=a^{3}\] Where, a is the side length of the cube. |
| \[\large Surface\;area\;of\;Cuboid = 2(lb + bh + hl)\] \[\large Volume\;of\;a\;Cuboid = h \times l \times w\] Where, l: Height h: Legth w: Depth |
| \[\large Diameter\;of\;a\;sphere=2r\] \[\large Circumference\;of\;a\;sphere=2\pi r\] \[\large Surface\;area\;of\;a\;sphere=4\pi r^{2}\] \[\large Volume\;of\;a\;sphere=\frac{4}{3}\: \pi r^{3}\] Where, r: Radius |
| \[\large Curved\;Surface\;area\;of\;a\;Hemisphere =4\pi r^{2}\] \[\large Total\;Surface\;area\;of\;a\;Hemisphere =3\pi r^{2}\] \[\large Volume\;of\;a\;Hemisphere =\frac{2}{3}\: \pi r^{3}\] Where, r: Radius |
| \[\large Curved\;Surface\;area\;of\;a\;Cylinder =2\pi rh\] \[\large Total\;Surface\;area\;of\;a\;Cylinder =2\pi r(r+h)\] \[\large Volume\;of\;a\;Cylinder = \pi r^{2} h\] Where, r: Radius h: Height |
| \[\large Total\;Surface\;Area\;of\;cone=\pi r \left (s+r \right )\] \[\large Vomule\;of\;cone=\frac {1}{3}\pi r^{2}h\] \[\large Curved\;Surface\;Area\;of\;cone=\pi rs\] Where, r is the radius of cone. h is the height of cone. s is the slant height of the cone. |
Check More 3D Shapes Mensuration Formulas
| Cube Formulas | Hemisphere Formulas |
| Cuboid Formulas | Cylinder Formulas |
| Sphere Formulas | Cone Formulas |
Download Mensuration Formula in PDF
Now, we are going to share the Mensuration Formulas in PDF file. You would like to download PDF file of Mensuration Formulas then click on the below link.
Mensuration Formulas By Class
| Class 5 Mensuration Formulas | Class 6 Mensuration Formulas |
| Class 7 Mensuration Formulas | Class 8 Mensuration Formulas |
| Class 9 Mensuration Formulas | Class 10 Mensuration Formulas |
Video of Mensuration Formula
Summary of Mensuration Formula
Andlearning.org is a single website that is sharing all Mensuration formulas which is useful for math calculation. I checked numbers of websites that have shared Mensuration formulas but we can’t find any website which has shared all Mensuration formulas including all notes. If you have any questions regarding Mensuration formulas please let me know through comment, mail, or social media. My expert team is waiting for your Mensuration related doubts or questions for the solution.