Mensuration Formulae for SSC CGL, SSC CPO, Railways Group D, RPF & ALP in PDF - Part 2

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Linette Willis
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1 Mensuration Formulae for SSC CGL, SSC CPO, Railways Group D, RPF & ALP in PDF - Part 2 Mensuration is an important topic for Competitive Exam like SSC CGL, IBPS PO, SBI PO, RBI Exams, Railway Group D, RPF & ALP. Since the topic of mensuration revolves around some limited concepts, it becomes very easy to solve these problems if you remember some basic formulas. Hence, we have compiled some important Mensuration Formulas for SSC and Banking in PDF. You can easily print it and affix it in your study room. Just give it a glance when you are solving mensuration problems and you will automatically remember it. In this sheet of Mensuration Formulas in PDF, we will take different figures and mention all the important formulas related to it. This way you won t get confused. We are also including diagrams so that you can create a mental picture of it and remember it well. What follows is the part 2 of these Mensuration Formulas for SSC and Banking. Part 2 deals largely with 3D figures. You can also download Part 1 from the link given below. Mensuration Formulas for SSC and Banking - Part 1 Mensuration Formulas for 3D Figures 1 P a g e

2 8. Mensuration Formulas for CUBOID In the following formulae, l = length, b = breadth and h = height Total surface area of cuboid = 2 (lb + bh + lh) Length of diagonal of cuboid= (l 2 +b 2 +h 2 ) Volume of cuboid = l b h 9. Mensuration Formulas for CUBE In the following formulae, a = side of a cube Volume of cube = a 3 Total surface area of cube = 6a 2 Length of Leading Diagonal of Cube = a 3 2 P a g e

Total surface area of a cone = π r (r + l) Volume of right circular cone =1/3 πr 2 h 11.

3 10. Mensuration Formulas for CONE In the following formulae, r = radius of base, l = slant height of cone and h = height of the cone (perpendicular to base) Slant height of a cone = l = (h 2 +r 2 ) Curved surface area of a cone = C = π r l Total surface area of a cone = π r (r + l) Volume of right circular cone =1/3 πr 2 h 11. Mensuration Formulas for CYLINDER In the following formulae, r = radius of base, h = height of cylinder Curved surface area of a cylinder = 2πrh 3 P a g e

sphere = 4πr 2 = πd 2 Volume of a sphere = (4/3) πr 3 = (1/6)πd 3 13.

4 Total surface area of a cylinder = 2πr(r + h) Volume of a cylinder = πr 2 h 12. Mensuration Formulas for SPHERE In the following formulae, r = radius of sphere, d = diameter of sphere Surface area of a sphere = 4πr 2 = πd 2 Volume of a sphere = (4/3) πr 3 = (1/6)πd Mensuration Formulas for HEMISPHERE In the following formulae, r = radius of sphere Volume of a hemisphere =(2/3)πr 3 Curved surface area of a hemisphere = 2πr 2 Total surface area of a hemisphere = 3πr 2 4 P a g e

Mensuration Formulas for FRUSTUM OF A RIGHT CIRCULAR CONE Frustum is created when a plane cuts a cone parallel to its base.

5 14. Mensuration Formulas for HOLLOW CYLINDER Hollow cylinder made by cutting a smaller cylinder of same height and orientation out of a bigger cylinder. Volume of hollow cylinder = πh(r 2 - r 2 ) (Where, R = radius of cylinder, r = radius of cavity, h = height of cylinder) 15. Mensuration Formulas for FRUSTUM OF A RIGHT CIRCULAR CONE Frustum is created when a plane cuts a cone parallel to its base. In the following formulae, R = radius of the base of the frustum, r = radius of the top of the frustum, h = height of the frustum, l = slant height of the frustum 5 P a g e

6 If a cone is cut by a plane parallel to the base of the cone, the lower part is called the frustum of the cone. Slant height of the frustum =l= (h 2 +(R-r) 2 ) Curved surface area of frustum = π(r + r)l Total surface area of frustum = π(r + r)l + π(r 2 + r 2 ) Volume of the frustum=(1/3)πh(r 2 +r 2 +Rr) 16. Mensuration Formulas for PRISM Prism consists of two polygonal bases which are parallel to each other. These bases are joined by lateral faces, which are perpendicular to the polygonal bases. The number of lateral faces is equal to the number of sides in the polygonal base. Thus, the base of a prism could be of various shapes, namely, triangular, quadrangular, pentagonal etc. Volume of prism = Base area height Lateral surface area of prism = perimeter of base height Total surface area of prism = Lateral surface area + (2 base area) 6 P a g e

7 17. Mensuration Formula for PYRAMID Pyramid consists of a polygonal base and triangles at its sides. These triangles are called faces. The base could be of any shape, whereas the faces are generally isosceles triangles. All these triangular faces meet in a single point called the apex. Total surface area of pyramid = base area + (number of sides ½ slant height base length) Volume of pyramid = (1/3) base area height Practice FREE Qs on Testbook to boost your preparation. Practice for Quant Share your doubts and queries with your fellow aspirants as well as our experts on Testbook Disscuss. Start a Discussion 7 P a g e

Mensuration Formulas for SSC and Banking in PDF - Part 2

Mensuration Formulas for SSC and Banking in PDF - Part 2 Mensuration is an important topic for Competitive Exam like SSC CGL, IBPS PO, SBI PO, IBPS Clerk, SBI Clerk, RBI Exams, Railway Exams, LIC AAO,