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MENSURATION FORMULA
1. Area of rectangle (A) = length(l) * Breath(b)
2. Perimeter of a rectangle (P) = 2 * (Length(l) + Breath(b))
3. Area of a square (A) = Length (l) * Length (l)
4. Perimeter of a square (P) = 4 * Length (l)
5. Area of a parallelogram(A) = Length(l) * Height(h)
6. Perimeter of a parallelogram (P) = 2 * (length(l) + Breadth(b))
7. Area of a triangle (A) = (Base(b) * Height(b)) / 2
And for a triangle with sides measuring “a” , “b” and “c” , Perimeter = a+b+c
and s = semi perimeter = perimeter / 2 = (a+b+c)/2
And also . Area of triangle
This formulas is also knows as “Heroe’s formula”.
8. Area of triangle(A) =
Where , A , B and C are the vertex and angle A , B , C are respective angles of triangles and a , b , c are the respective opposite sides of the angles as shown in figure below:
area of triangle - mensuration
9. Area of isosceles triangle =
Where , a = length of two equal side , b= length of base of isosceles triangle.
10. Area of trapezium (A) =
Where , “a” and “b” are the length of parallel sides.
11. Perimeter of a trapezium (P) = sum of all sides
12. Area f rhombus (A) = Product of diagonals / 2
13. Perimeter of a rhombus (P) = 4 * l
where l = length of a side
14. Area of quadrilateral (A) = 1/2 * Diagonal * (Sum of offsets)
15. Area of a Kite (A) = 1/2 * product of it’s diagonals
16. Perimeter of a Kite (A) = 2 * Sum on non-adjacent sides
17. Area of a Circle (A) =
Where , r= radius of the circle and d= diameter of the circle.
18. Circumference of a Circle =
r= radius of circle
d= diameter of circle
19. Total surface area of cuboid =
where , l= length , b=breadth , h=height
20. Total surface area of cuboid =
where , l= length
21. length of diagonal of cuboid =![](https://lh6.googleusercontent.com/_tzDl_fCFVJO0MirzPwIeom9QMzMZscZ4Sg3-MjydwJcY4gYhtxkDVFZqKiLelKNxFS6zMn8g81_tJV8iXy3pYpuothyRdxcBlwgqwiZN-O0UTDOoMu8xTug9v8jPJc5O-82AJBK=rw)
22. length of diagonal of cube = ![](https://lh5.googleusercontent.com/o6CM-gIIPfs-ppoHd3wPionPFteLkntq4JMza2msYvHEMEudhHw8ohgIQ6t61hlXJZwTr2lL-xYRdEuH8uWRj04kSa2yGOHMaagDpinDnva7J5GWx29SzIwUv7JjidTVCJ0Cooip=rw)
23. Volume of cuboid = l * b * h
24. Volume of cube = l * l* l
25. Area of base of a cone = ![](https://lh3.googleusercontent.com/mglfzxP4Zl9tNq54DhRRGpmU-ut8HQYoGqJyE5MV4VuMbnJXKp32_wYdYtwsYbXf8W5k8CYXKTgzNSZ6PmTmBTA0SokZzmzFtUblj_XBTDUPY_dIZ2-dgAaNqjx94FNR5_8LxK6-=rw)
26. Curved surface area of a cone = C
Where , r = radius of base , l = slanting height of cone
27. Total surface area of a cone = ![](https://lh6.googleusercontent.com/yrKegPKba1U1NM02EPyX1jla2n-_y-rBzgMDlHF-67nETjt25B_C7hFe9OkmBParnRJTeeP0-tLlWnvhUhESC2MD51ZduRbAJM76OlM9PjrxAsTiO4djBpWgrPSsPggab9sy9ywj=rw)
28. Volume of right circular cone = ![](https://lh3.googleusercontent.com/_XENrIQb2QVOeeCkecu9cjfgQyevDPu1CxxITAK9ervSvOJYxIwiYkGk61DBjfquJVSVedeSRJXl341QLmE8t7CFtSYcd78x3_Zk14NvAVIj_uwfEALhPwXbwYjUzKAnqcnvsFcH=rw)
Where , r = radius of base of cone , h= height of the cone (perpendicular to base)
29. Surface area of triangular prism = (P * height) + (2 * area of triangle)
Where , p = perimeter of base
30. Surface area of polygonal prism = (Perimeter of base * height ) + (Area of polygonal base * 2)
31. Lateral surface area of prism = Perimeter of base * height
32. Volume of Triangular prism = Area of the triangular base * height
33. Curved surface area of a cylinder = ![](https://lh3.googleusercontent.com/a5v2CSXHKNyMF5JIbk2pssmwGLwQJpCLkLdtjhN5Fnv0QtYnq5Wh6WT_R77s6rPi__Z6C3eCv0ntKlj1THTbfpTvubz-bdW6AooPCV3HxIlS-UqsJXeh6PLzeIAMnv78r5wmk59w=rw)
Where , r = radius of base , h = height of cylinder
34. Total surface area of a cylinder = ![](https://lh6.googleusercontent.com/HlT4AYa8bkcnuNe3DGKEEQzjbfDvGyjio1lRSVRHkpf5d18CfnHNAJ4oELOYZwVJsl4FhwAKplzLffgwTjxD7-QyRSvS-vs78L95JrRx3Adbs7PSgvsOf2rItzMlRXA-cKm4RCYY=rw)
35. Volume of a cylinder = ![](https://lh3.googleusercontent.com/KINmB8nzbhSYAiZt1O0Z0gmosfPdmJmkKudJoME3DPLNzzGU_LwMYCV-pFqIFocXdTuHmcr7qvr5rrshi-hzEOEbNGTZqpwZqrAcpAdaTSF7Z-GCx7j7rAQgAD9AqyYzNyrXLODu=rw)
36. Surface area of sphere = ![](https://lh5.googleusercontent.com/bzAslYPKzPwH1GCj7n5d9FvDEvuLBupXVEaZhp7zCK84XG5nrBe9lg7CxRqvAaj-vkog-cC4fiy5wFpY0_tUQ9lPG-nMrmMLrfCH0krSvJrwi4mELKEX2OOVlkhMNSl0hq9ZUOoE=rw)
where , r= radius of sphere , d= diameter of sphere
37. Volume of a sphere = ![](https://lh5.googleusercontent.com/PWViBubstwBw6XrcUP5cHnhiB23pSQlVujlOPdiDkVQiVnWeK0hny5TDKTQrqi5Fj51o4qRHL3mUVkFDbE5trFZxpQprhFle_zRcpXQDQNS-M8FWx0UvLvqdDX_T1T5NWhIRXPJv=rw)
38. Volume of hollow cylinder = ![](https://lh4.googleusercontent.com/9qggFQN5lVYDFKo_cLszpE9YDAPEQ9FcQwjGw5oAdE97Ds9t_tFCj5n1dZDji86BMV2Xx42ATM8s0ulW5lHN8mSXGMzy0TgXFYSO-TvXYlzmdgjsVRg5MQwwuo4FJuVO3AjC8I05=rw)
where , R = radius of cylinder , r= radius of hollow , h = height of cylinder
39. Surface area of a right square pyramid = ![](https://lh6.googleusercontent.com/FKx9y0nLn1p8tR3BiuM2q-Rs4bCWVKc0U4lzDuTiz35d9fluhOkQA0zrx97yBqu-6MBgbmZaU5b9FUt5V6fVCZwvV9DY-QTLGXG-aLL8IGxovaIK5z6KX3SHiRY9Fnfymwu0ndrp=rw)
Where , a = length of base , b= length of equal side ; of the isosceles triangle forming the slanting face.
40. Volume of a right square pyramid = ![](https://lh6.googleusercontent.com/DHzymDCbEPmEqi5j97m0V4LmGJiZW5H-eHMQ129oW-Y_nnPytQRzZgNOL23ZZsIpmNqvZ_HujhglBATN1gA8IXlledjPB1cQVhF1W2pHfSgWvJRdF5bcj244Ibmbj2z5vIBO1eSb=rw)
41. Area of a regular hexagon = ![](https://lh5.googleusercontent.com/INrVpbh0tB4-V2RZH4Ah2ANGrvqOPVxObN8w1sNF7086O7IPSMR3lfQyY3mIEaylqbM8JZYrYk2u08Wd52zDcMYwON-Ir3AIB9J82yMTFJkg1uJg9Kmqm2MD61qMBOCaYvqxQrRh=rw)
42. area of equilateral triangle = ![](https://lh3.googleusercontent.com/bLenn7WT7e_XqIxjOuOiq1rYGFgKwdH2gtIfu2GZGbrH-N14g8swveTAywwLuadg7N4vbpAFfyi4wCPzlDpzNBu8E86IOnfs8CEkPYZv7gz1upk5X96YyLmm6rf6YMgNFqf9DcHJ=rw)
43. Curved surface area of a Frustums = ![](https://lh6.googleusercontent.com/2gMrUTwBM9yWfS-r3yYY-QUIyglmgd_B42HL2ICv1E3tjvRNad7NUaKhaLTmC549hJt5083Fzp-cGLbdVEAYR1FW135xyDBm14dxGv6Qm1WzEfIzFYtmqzHWud8bO4zmXBjcVQEm=rw)
44. Total surface area of a Frustums = ![](https://lh3.googleusercontent.com/bADQkAndU-Xn4p1qAe06Rpw8VIcnafEvf7kt72akX39J6POpjJGUO5KxhOSQIwi0_QuWZ4sr2MRy93OHmVsXlwnMSG45BNWfW_rSe5lAtX9u9MpiAaFxUtIkkhOKpb1MJScp5WqI=rw)
45. Curved surface area of a Hemisphere = ![](https://lh3.googleusercontent.com/QAbzPzy-l21exmHLqjAtCvav9A5GCtzVPsMsqVegXyKivFXEP1OkrFFKLsgd3XCA7X29s7BGe8b_69yy4V7ceJ8rg2aaHANdHztcSFCyxOnemYJX7IYgLvkwNK_tVnh_70ygRl_Z=rw)
46. Total surface area of a Hemisphere = ![](https://lh6.googleusercontent.com/ChwnrAAfx1l0bbVesymf9xvxzfDVfVCcbPTXkRaQs0ddzH9xpRtlYYDVwkZnjfko8tnMcLGNfg8MbdtB8oIVT-OAHf0MXun8LdlkaBw66cuK_PjPkHcIgQRd9-2svs3LVyyImlUl=rw)
47. Volume of a Hemisphere = ![](https://lh3.googleusercontent.com/2-WqhTU5ImKhDVrbNgJMn4l0WRAsDS18oehaw748xJT9BzC4KUM-n0Jf90zKxukTWvye5PEQWKsUoB2yhBjX-3OpNfgEbDdFrW5K7biC1ZV29EgSV_8zDAy3Vvot_0z13xW8m1Bt=rw)
48. Area of sector of a circle = ![](https://lh5.googleusercontent.com/ySvquTSlTQY-DSHvelwtK3ejZPMnbd0nHDtevG3DGlyqPLWhPOKJ9Yz6kDtehPAKVbgs2XEg6nrLIqrNc1fcZcJb3eWILnyCTQYVd85IlhaBcls249T6rvilx63ntoJYyFUqpoy-=rw)
where ,
= measure of angle of the sector , r= radius of the sector