<\/p>\n\n\n
<\/p>\n\n\n\n
Mensuration For SBI Clerk: <\/strong>The Mensuration is an important topic for the SBI Clerk 2024 Prelims exam. The Mensuration topics contain 3-4 questions in the SBI Clerk 2024 prelims exam. The SBI Clerk selection process consists of two phases Prelims and Mains. Generally, this section covers basic to moderate-level questions. candidates can understand the Mensuration formulas and their various geometric shapes. In this article, we will discuss the types of questions that can be, important concepts and useful tips to prepare for measurement questions in SBI Clerk 2024 Prelims.<\/p>\n\n\n\n <\/p>\n\n\n\n <\/p>\n\n\n\n <\/p>\n\n\n\n Mensuration deals with the measurement of areas and volumes of different figures. These figures include both \u20182D\u2019 (two-dimensional) and \u20183D\u2019 (three-dimensional) figures (also known as solids).<\/p>\n\n\n\n Note: By definition, \u20182D\u2019 figures exist in a two-dimensional world and hence have no volume.<\/p>\n\n\n\n Let\u2019s take a brief look at the formulae for areas of various \u20182D\u2019 figures, and areas and volumes of \u20183D\u2019 figures.<\/p>\n\n\n\n 2D Figures:<\/p>\n\n\n\n Polygons:<\/strong> A Polygon is a closed figure made up of at least 3 line segments in a two-dimensional plane.<\/p>\n\n\n\n Triangle:<\/strong> A triangle is a polygon containing 3 sides. The area of a triangle is represented by the figure \u0394.<\/p>\n\n\n\n Formulas associated with triangles:<\/p>\n\n\n\n Area:<\/p>\n\n\n\n I. For any triangle in general;<\/p>\n\n\n\n For a triangle having sides of length \u2018a\u2019 cm, \u2018b\u2019 cm and \u2018c\u2019 cm;<\/p>\n\n\n\n The perimeter of triangle = Sum of the length of three sides = (a + b + c) cm.<\/p>\n\n\n\n Area = \u221a{s \u00d7 (s \u2013 a) \u00d7 (s \u2013 b) \u00d7 (s \u2013 c)}<\/p>\n\n\n\n Where \u2018s\u2019 is the semi-perimeter of the triangle. \u2018s\u2019 = {(a + b + c)\/2}<\/p>\n\n\n\n This formula is universally known as heron\u2019s formula.<\/p>\n\n\n\n II. For a triangle whose length of base and length of altitude (Height) to that base is given;<\/p>\n\n\n\n Area = (1\/2) \u00d7 base \u00d7 height<\/p>\n\n\n\n III. Equilateral triangle: If all three sides of a triangle are equal, then it is an equilateral triangle.<\/p>\n\n\n\n For an equilateral triangle with side \u2018a\u2019 cm, Area = (\u221a3\/4) \u00d7 a2<\/sup><\/p>\n\n\n\n Using (II), we have; (1\/2) \u00d7 a \u00d7 height = (\u221a3\/4) \u00d7 a2<\/sup><\/p>\n\n\n\n Or, height = (\u221a3\/2) \u00d7 a<\/p>\n\n\n\n IV. Isosceles triangle: If any two sides of a triangle are equal, then it is an isosceles triangle.<\/p>\n\n\n\n Area = (a\/4)\u221a(4c2<\/sup> \u2013 a2<\/sup>) {where \u2018c\u2019 is the length of each of the two equal sides and \u2018a\u2019 is the length of the third (un-equal) side}<\/p>\n\n\n\n Quadrilaterals: <\/strong>Any polygon having for sides is called a quadrilateral.<\/p>\n\n\n\n I. Area of a normal quadrilateral with vertices \u2018A\u2019, \u2018B\u2019, \u2018C\u2019 and \u2018D\u2019 (As shown in the figure)<\/p>\n\n\n\n Area of quadrilateral ABCD = (1\/2) \u00d7 Length of BD \u00d7 (AF + DE), where AF and DE are perpendicular to BC.<\/p>\n\n\n\n II. Trapezium:<\/strong> A trapezium is a quadrilateral having exactly two parallel sides.<\/p>\n\n\n\n Area of trapezium = (1\/2) \u00d7 sum of parallel sides \u00d7 Height of the trapezium.<\/p>\n\n\n\n III. Parallelogram:<\/strong> A parallelogram is a quadrilateral whose opposite sides are parallel as well as equal to each other.<\/p>\n\n\n\n Area = length of base \u00d7 height (perpendicular distance)<\/p>\n\n\n\n IV. Square:<\/strong> A square is a parallelogram whose all four sides are of equal length and angles are of 90o<\/sup> each.<\/p>\n\n\n\n Area = (a)2<\/sup> {where \u2018a\u2019 is the length of each side}<\/p>\n\n\n\n V. Rhombus:<\/strong> A Rhombus is a parallelogram whose all four sides are equal.<\/p>\n\n\n\n Area = (1\/2) \u00d7 product of length of diagonals<\/p>\n\n\n\n VI. Rectangle: <\/strong>A rectangle is a parallelogram that has all four angles of 90o<\/sup><\/p>\n\n\n\n For a rectangle with length \u2018L\u2019 cm and Breadth \u2018B\u2019 cm,<\/p>\n\n\n\n Area = L \u00d7 B<\/p>\n\n\n\n And, Perimeter = 2(L + B)<\/p>\n\n\n\n Circle:<\/strong> <\/p>\n\n\n\n For a circle with radius \u2018r\u2019 units<\/p>\n\n\n\n Area = \u03c0r2<\/sup> <\/p>\n\n\n\n Circumference = 2\u03c0r<\/p>\n\n\n\n Area of sector = (\u03b8o<\/sup>\/360o<\/sup>) \u00d7 \u03c0r2<\/sup> {Where \u03b8 is the angle subtended inside the sector}<\/p>\n\n\n\n Length of arc = (\u03b8o<\/sup>\/360o<\/sup>) \u00d7 2\u03c0r<\/p>\n\n\n\n Area and Volumes of solids:<\/strong><\/p>\n\n\n\n Cube: <\/strong>A cube is a solid shape with six square faces.<\/p>\n\n\n\n Total surface area of cube = 6a2<\/sup> {Where \u2018a\u2019 is the length of edge of the cube}<\/p>\n\n\n\n Volume of cube = a3<\/sup><\/p>\n\n\n\n Cuboid: <\/strong>A cuboid is bound by 6 rectangular faces. The opposite faces of a cuboid are equal rectangles lying in parallel planes.<\/p>\n\n\n\n Volume of a cuboid with length \u2018x\u2019 cm, breadth \u2018y\u2019 cm and height \u2018h\u2019 cm = (x \u00d7 y \u00d7 h) <\/p>\n\n\n\n Total surface area of cuboid = 2(xy + yh + xh)<\/p>\n\n\n\n Lateral surface area of a cuboid = 2xh + 2yh = 2h(x + y)<\/p>\n\n\n\n Cone:<\/strong> A cone is a solid which has a circle at its base and a slanting lateral surface that converges at the apex.<\/p>\n\n\n\n Curved surface area of the cone = \u03c0 \u00d7 r \u00d7 s {Where \u2018r\u2019 is radius and \u2018s\u2019 is slant height}<\/p>\n\n\n\n Slant height of a cone = \u221a(r2<\/sup> + h2<\/sup>), where \u2018h\u2019 is height of the cone.<\/p>\n\n\n\n Total surface area of cone = Curved surface area + area of base = \u03c0rs + \u03c0r2<\/sup> = \u03c0r(r + s)<\/p>\n\n\n\n Frustum of a cone: <\/strong>If a cone is cut into two parts by a plane parallel to the base, the portion with the upper tip of the cone still remains a cone; however the portion that contains the base is called the frustum of the cone.<\/p>\n\n\n\n Curved surface area of frustum = \u03c0 \u00d7 s(R + r) {Where \u2018s\u2019 is slant height ,\u2018R\u2019 is radius of the base and \u2018r\u2019 is the radius of the top.}<\/p>\n\n\n\n Total surface area of the frustum = \u03c0(R2 <\/sup>+ r2<\/sup> + Rs + rs)<\/p>\n\n\n\n Volume of the frustum = (1\/2) \u00d7 \u03c0 \u00d7 h \u00d7 {R2<\/sup> + r2<\/sup> + Rr} {Where \u2018h\u2019 is the height of the cone}<\/p>\n\n\n\n s2<\/sup> = (R2<\/sup> \u2013 r2<\/sup>) + h2<\/sup><\/p>\n\n\n\n Cylinder: <\/strong>Cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance.<\/p>\n\n\n\n Curved surface area of a cylinder = 2\u03c0rh {Where \u2018r\u2019 is the radius of the base and \u2018h\u2019 is the height of the cylinder}<\/p>\n\n\n\n Total surface area of the cylinder = 2\u03c0rh + 2\u03c0r2<\/sup> = 2\u03c0r(r + h)<\/p>\n\n\n\n Volume of cylinder = \u03c0r2<\/sup>h<\/p>\n\n\n\n Sphere<\/strong>: A sphere is a three dimensional solid, that has all its surface points at equal distances from the centre. The distance between the centre and a surface point of the sphere is called its radius (r).<\/p>\n\n\n\n Volume of sphere = (4\/3) \u00d7 \u03c0r3<\/sup><\/p>\n\n\n\n Surface area of a sphere = 4\u03c0r2<\/sup><\/p>\n\n\n\n Hemisphere: <\/strong>Where a sphere is divided into two equal and identical parts, the new formed parts are called hemispheres.<\/p>\n\n\n\n Volume of hemisphere = (2\/3)\u03c0r3<\/sup><\/p>\n\n\n\n The total surface area of hemisphere = 3\u03c0r2<\/sup><\/p>\n\n\n\n The curved surface area of hemisphere = 2\u03c0r2<\/sup><\/p>\n\n\n\n We are providing a link to download the mensuration questions PDF. This PDF contains questions in both Hindi and English, along with detailed solutions. Candidates can sign up using the link below to download the Mensuration questions PDF.<\/p>\n\n\n\n <\/p>\n\n\n\n <\/p>\n\n\n\n Disclaimer<\/strong><\/p>\n\n\n\n The mensuration practice questions and study material provided by PracticeMock on this page are intended solely for educational and practice purposes to support candidates preparing for the SBI Clerk Prelims examination. While care has been taken to ensure accuracy and usefulness, PracticeMock does not guarantee the completeness, correctness, or official status of the content. Candidates should always verify details with authentic sources and the official SBI <\/a>Clerk website<\/strong> for the latest updates and notifications. PracticeMock accepts no responsibility for any loss, damage, or consequences arising from the use of this resource, and access or download is entirely at the user\u2019s own discretion and risk.<\/p>\n\n\n\n <\/p>\n\n\n\n Here we are providing some tips and tricks for Mensuration for the SBI Clerk 2024 Prelims exam. candidates can follow these tips and boost your preparation for the Mensuration SBI Clerk 2024 Exam.<\/p>\n\n\n\n Understand Mensuration Topics <\/strong><\/p>\n\n\n\n Take time to understand the basic properties of various geometric shapes. Often, knowledge of the properties itself will help you quickly deduce answers without necessarily going through heavy calculation<\/p>\n\n\n\n Previous Years’ Papers and Mock Tests<\/strong><\/p>\n\n\n\n Use SBI Clerk previous years’ papers to see the type of mensuration-type questions that have been asked and know your time management and areas where you need improvement.<\/p>\n\n\n\n Periodic Revision<\/strong><\/p>\n\n\n\n Mensuration is formula-intensive. Regular revision will help you remember formulas much more<\/p>\n\n\n\n Analyze Mistakes and Improve:<\/strong><\/p>\n\n\n\n Analyze mistakes made in mensuration problems while you take practice tests, focusing on why you made those mistakes. You may never make the same mistake again on your actual test day.<\/p>\n\n\n\n <\/p>\n\n\n\n <\/p>\n\n\n\nWhat is Mensuration<\/h2>\n\n\n\n
Mensuration Questions PDF Link<\/h2>\n\n\n\n
Preparation Tips For Mensuration SBI Clerk 2024 Exam<\/h2>\n\n\n\n
Related Blog\u2019s on SBI Clerk 2024 Exam<\/h2>\n\n\n\n