Mensuration Formula PDF For Bank Exams Like PO, Clerk, SSC CGL: 2D And 3D Shapes
Nov 16 2023
Mensuration Formula PDF For Bank Exams: Dear Aspirants, We have uploaded the mensuration formula pdf and mensuration formula for bank exams in this mensuration formula for bank exams article. The topic which is asked frequently in most of the bank and other competitive exams is mensuration. In most of the bank po and clerk exams like sbi clerk, sbi po, ibps clerk, ibps po, rrb clerk, rrb po, and other insurance exams, mensuration formula plays a major role. If you are effectively preparing for the upcoming bank exams and other competitive exams you shall make use of this mensuration formula for bank exams and download the mensuration formula pdf. All the formula of Mensuration are used in various competitive exams like bank, ssc chsl, ssc cgl, ssc mts, and railways. So you have to master the mensuration formula table, mensuration formula for bank exams to crack any level of mensuration questions in the bank exams. The formulas in mensuration are added in the mensuration formula for bank exams article and mensuration formula pdf will help you to make your calculations easier while solving the mensuration questions by using this mensuration formula for bank exams. The mensuration formula pdf will help you to improve your speed and accuracy while solving the mensuration questions with the mensuration formula for ssc cgl. We have provided the mensuration formula pdf here in this mensuration formula for bank exams post. So you can download this mensuration formula pdf for bank exams and maximize your score on the topic of mensuration in the forthcoming bank exams and other competitive exams.
In this mensuration formula pdf for ssc cgl article, we have briefly explained all the mensuration formulas in mensuration questions in the bank exams, important topics of mensuration, mensuration formula chart, mensuration formula table, mensuration 2d and 3d formula pdf, mensuration formula 3d, mensuration figures and dimensions, and important mensuration formulas for bank exams like area, volume, and all. To enhance your preparation level for the upcoming bank and other competitive exams you can make use of this mensuration formula pdf which is attached to this mensuration formula article. By exploiting this mensuration formula pdf and mensuration formula article which has all the formulas in mensuration for bank exams you can have the ability to solve all the formulas in mensuration questions with this mensuration formula for bank exams. If you are familiar with the mensuration formulas, it will help to enhance your preparation level for the upcoming government exams.
Mensuration Formula PDF For Bank Exams
We have attached the mensuration formula pdf for bank exams in this mensuration formula for bank exams post. If you are going to appear for the forthcoming bank exams and other competitive exams, you could utilize this mensuration formula pdf for bank exams to solve any type of mensuration questions with speed and accuracy by using all the formulas in mensuration. This mensuration formula pdf contains all the important mensuration formulas for bank exams, mensuration formula table, mensuration formula chart, mensuration formula 3d, mensuration 2d and 3d formula pdf. This mensuration formula pdf for bank exams will help you to improve your knowledge to solve mensuration questions within a time in the bank exams with the mensuration formulas. Download the mensuration formula pdf which has all the formulas in mensuration for bank exams for your future reference.
Download the mensuration formula pdf for bank exams
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What is Mensuration In Bank Exams?
In this Mensuration Formula for bank exams article, you can learn about the definition of mensuration which is frequently asked in various bank exams and competitive exams. Mensuration is the study of different dimensions like length, breadth, height, area, and volume of various geometric shapes. It has different types of applications, as it includes real-life problems. Mensuration is a subject of geometry. Mensuration deals with the size, region, and density of different forms both 2D and 3D. A good preparation strategy includes all the mensuration formula for bank exams that help you to increase your speed and efficiency in solving the mensuration questions. you can make use of mensuration formula pdf for bank exams which contains all the mensuration formula for bank exams. So download this mensuration formula pdf for bank exams and kick start your preparations for future exams.
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Mensuration shapes Two-Dimensional (2D) Figures
In this mensuration formula for bank exams article, we have deeply explained the mensuration shapes. The geometrical figures or shapes with only two measurements are called two-dimensional figures and are termed 2D figures. The 2D figures have only two dimensions, mainly length and breadth. The two-dimensional figure doesn’t have height or depth. We can measure the perimeter and area of the two-dimensional figures. The perimeter of two-dimensional figures is measured in m, cm, mm, km, inches, and feet. You can also utilize the mensuration formula pdf which has all the formulas of mensuration with detailed analysis.
Mensuration shapes Three-Dimensional (3D) Figures
We have provided the mensuration shapes for 3D dimensional figures in this mensuration formula for bank exams post. The geometrical figures or shapes with three measurements are three-dimensional, termed 3D figures. The 3D figures or solids have three measurements: length, breadth, height, or depth. We can see more solids such as books, pencils, cylinders, balls, etc. are examples of three-dimensional figures in our daily lives. We can measure the surface areas (curved or lateral surface area and total surface area) and volume. Download the mensuration formula pdf if you want to know all the formulas of mensuration with detailed explanations.
Important Terminologies Used in Mensuration
Here you can learn about the important terminologies that are used in mensuration in this mensuration formula for bank exams article and also in the mensuration formula pdf.
- Perimeter: The measure of the continuous length of the boundary of the geometrical figure is called the perimeter of the figure. It is measured in units of m, cm, inches, etc.
- Area: The amount of space or region covered by the geometrical figure is called the area of the figure. It is measured in square units like m2,cm2,km2 etc.
- Lateral surface area: The area or region covered by the laterals (line segments) of the geometrical figure is called the lateral surface area, and it is represented as LSA.
- Curved surface area: The area or region covered by the curved faces of the geometrical figure is called the curved surface area, and it is represented as CSA.
- Total Surface area: The area or region covered by the entire figure is called the total surface area, and it is represented as TSA.
- Volume: The space inside the three-dimensional figure is called the volume of the figure, and it is measured in cubic units like cm3,m3,km3, cubic hectares, etc.
Mensuration: Important Topics
Here we have added the important mensuration topics in this mensuration formula for bank exams article. We have also mentioned these mensuration topics in the mensuration formula pdf which is attached to this mensuration formula for bank exams article. The important mensuration topics are square, rectangle, circle, cube, cuboid, cylinder, sphere, right circular cone. Let’s see the figure and dimension of these topics in this mensuration formula for bank exams post. You can also refer to the mensuration formula pdf which is enclosed in this mensuration formula for bank exams post.
Figures and Dimensions
The length, breadth, and height are the dimensions of any material. A square has four sides, a rectangle has four sides with a pair of length and breadth. Figures are the various shapes and patterns that describe any real-life or imaginary object. Hence, the four sides and the pair of length and breadth are the figures square and rectangle dimensions. Mensuration syllabus for bank exams includes the calculation of various dimensions of complex figures.
Figures, Types and Dimensions in Mensuration |
||
Figure |
Type |
Dimensions |
Square |
2-D |
Side |
Rectangle |
2-D |
Length and breadth |
Triangle |
2-D |
Length, Height, Breadth |
Circle |
2-D |
Radius |
Parallelogram |
2-D |
Length |
Trapezium |
2-D |
length, width and height |
Cube |
3-D |
Equal length, breadth, and height |
Cuboid |
3-D |
Length, breadth, and height |
Cone |
3-D |
Radius, height |
Hemi-sphere |
3-D |
Radius |
Cylinder |
3-D |
The radius of the base, height |
Sphere |
3-D |
Radius |
Right Circular Cone |
3-D |
Slant height, the radius of the base |
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Important Mensuration Formula For Bank Exams
The important mensuration formula for bank exams is added here in this mensuration formula for bank exams article for the candidates who are going to appear for future bank exams and other competitive exams. By exploiting this mensuration formula for bank exams you will learn how to solve more tricky mensuration questions simply by using this mensuration formula for bank exams. The different figures occupy space in the surroundings. The space occupied by an object depends on its dimensions. The space covered is measured in areas and volumes of two-dimensional and three-dimensional figures, respectively. The following table shows the important mensuration formula for bank exams with areas and volumes. We have also added all the formulas in mensuration in the mensuration formula pdf for bank exams. You can download this mensuration formula pdf for reference.
Square – Mensuration Formula For Bank Exams
The mensuration formula for square is added in this mensuration formula for bank exams article and mensuration formula pdf. The square will have equal 4 sides. Also, the opposite sides are parallel to each other. The mensuration formulas for the square are available.
- Area of square = a×a
- The perimeter of square = 4a
Here, a = side of the square.
Rectangle – Mensuration Formula For Bank Exams
The mensuration formula for rectangle is added in this mensuration formula for bank exams article and mensuration formula pdf. In a rectangle, the opposite sides are equal and parallel. But not all 4 sides are equal. The mensuration formula sheet for the rectangle is,
- Area of rectangle = lb
- Perimeter of rectangle = 2(l+b)
Here, l = length of rectangle and b = breadth of the rectangle.
Parallelogram – Mensuration Formula For Bank Exams
The mensuration formula for parallelogram is added in this mensuration formula for bank exams article and mensuration formula pdf. In a parallelogram, the opposite sides are parallel and equal. But all 4 sides are not equal. Also, the angle of the corners is not at 90 degrees. Whereas in square and rectangle, the angle of corners is 90 degrees.
- Area of parallelogram = l × h
- Perimeter of parallelogram = 2(l+b)
Here, l = length or base of parallelogram. h = height of parallelogram.
Rhombus – Mensuration Formula For Bank Exams
The mensuration formula for rhombus is added in this mensuration formula for bank exams article and mensuration formula pdf. Rhombus is also a parallelogram. The main factor is that all 4 sides are equal in the rhombus. The mensuration formula chart for the rhombus is,
- Area of rhombus = d1 × d2 / 2
- The perimeter of rhombus = 4l
Here, d1 and d2 are the lengths of the diagonals. l is the side of the rhombus.
Trapezium– Mensuration Formula For Bank Exams
The mensuration formula for trapezium is added in this mensuration formula for bank exams article and mensuration formula pdf. In a trapezium, one set of opposite sides are parallel and unequal. The other set of opposite sides are not parallel.
- Area = 1 / 2 h(a+b)
- Perimeter = Sum of all sides
Here a and b are the top and bottom sides of the trapezium. h is the height of the trapezium.
Triangle – Mensuration Formula For Bank Exams
The mensuration formula for a triangle is added in this mensuration formula for bank exams article and mensuration formula pdf. Triangle is a 2D geometric shape with 3 sides. There are various types of triangles. They are,
- Equilateral triangle – all 3 sides are equal
- Isosceles triangle – two sides are equal
- Scalene triangle – No sides are equal
The mensuration formula sheet for the triangle is,
- Area of triangle = (1/2) x b x h
Here b and h are the base and height of the triangle respectively.
Regular Hexagon – Mensuration Formula For Bank Exams
The mensuration formula for a regular hexagon is added in this mensuration formula for bank exams article and mensuration formula pdf. Hexagon is a shape with 6 sides. If all 6 sides are equal, then it is known as a regular hexagon. The formula for the regular hexagon is,
- Area of a regular hexagon = 6 x √3 /4 x (side)2
- Perimeter of a regular hexagon = 6 x (side)
Circle – Mensuration Formula For Bank Exams
The mensuration formula for circle is added in this mensuration formula for bank exams article and mensuration formula pdf.
The maths mensuration formulas table pdf for the circle shape is,
- Circumference of a circle = 𝜋 x diameter
- Diameter of circle = 2r
- Area of a circle = 𝜋 x r x r
Here r is the radius of the circle.
Cube– Mensuration Formula For Bank Exams
The mensuration formula for cube is added in this mensuration formula for bank exams article and mensuration formula pdf. A cube is a 3D shape of a square. In the cube all the length, breadth, and height are equal. The mensuration formula for bank exams also includes all 3D shapes. So refer to the mensuration formulas for the cube here.
- Volume of a cube = (side)3
- Total surface area of a cube = 6 × (side)2
- Diagonal of cube = √3 x (side)
Cuboid – Mensuration Formula For Bank Exams
The mensuration formula for cuboid is added in this mensuration formula for bank exams article and mensuration formula pdf. It is a 3D shape of a rectangle. The mensuration formulas for the cuboid are,
- Volume of a cuboid = (length × breadth × height) = lbh
- Total surface area of cuboid = 2(lb + bh + hl)
Cylinder – Mensuration Formula For Bank Exams
The mensuration formula for cylinder is added in this mensuration formula for bank exams article and mensuration formula pdf. The cylinder is a 3D figure. The mensuration formula pdf for the cylinder is,
- Area of curved surface = (perimeter of base) x height = 2𝜋rh
- Total surface area = 2𝜋r(r + h)
- Volume = 𝜋 x r x r x h
Cone – Mensuration Formula For Bank Exams
The mensuration formula for cone is added in this mensuration formula for bank exams article and mensuration formula pdf. The mensuration formulas pdf for the cone are,
- Curved surface area = 𝜋rl
- Total surface area = 𝜋r(r + l)
- Volume of cone = (1/3) x 𝜋 x r x r x h
Here l is the slant height of the cone.
Sphere – Mensuration Formula For Bank Exams
The mensuration formula for sphere is added in this mensuration formula for bank exams article and mensuration formula pdf.
For sphere, the formulas are,
- Surface area = 4𝜋 x r x r
- Volume of sphere = (4/3) x 𝜋 x r x r x r
The following mensuration formula for bank exams will help you to solve the mensuration problems easily. You can refere this given table to know various mensuration formula for bank exams.
Important Mensuration Formula For Bank Exams |
|||
Figure |
Area |
Perimeter |
Volume |
Square |
a*a |
4a |
- |
Rectangle |
l*b |
2(l+b) |
- |
Parallelogram |
b×h |
AB+BC+CD+AD |
- |
Rhombus |
1/2×d1×d2 |
the sum of all four sides. |
- |
Scalene Triangle |
Root of s(s−a)(s−b)(s−c) |
a+b+c |
- |
Equilateral Triangle |
√3/4a2 |
3a |
- |
Isosceles Triangle |
1/2×b×h |
2a+b |
- |
Right-Angled Triangle |
1/2×b×h |
b+h+hypotenuse |
- |
Triangle |
½ bh |
l x b x h |
- |
Circle |
3.14*r*r |
2πr |
- |
Cube |
6*a*a |
- |
a*a*a |
Cuboid |
2(lb+bh+hl) |
- |
l*b*h |
Cylinder |
2*3.14*r(r+h) |
- |
3.14*r*r*h |
Sphere |
4*3.14*r*r |
- |
4/3(3.14*r*r*r) |
Right circular cone |
3.14*r (1+r) |
- |
(3.14*r*r*h)/3 |
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Examples of Mensuration By Using Mensuration Formula For Bank Exams
Here we have provided examples of mensuration by using the mensuration formula for bank exams. Aspirants can use these examples to learn how to solve mensuration problems by mensuration formulas for bank exams. Download the mensuration formula pdf for bank exams for further practice.
Example 1: Find the area and perimeter of the square whose sides measure 6 cm.
Solution: Given the square of the side is 6 cm
We know that to find the area of a square = a x a,
Here a = 6, Area = 6 x 6 = 36 cm square.
Perimeter of a square = 4a = 4 x 6
Perimeter = 24 cm
Example 2: A 15 inches (diameter) pizza( circle) is served to customers. Calculate its circumference.
Solution: Diameter of pizza (d)=15 inches
The circumference of the circle in terms of diameter is C=πd
C=π×15=15π inches
Hence, the circumference of a pizza is 15π inches.
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Mensuration Formula For Bank Exams FAQs
Q. What is Mensuration?
A. Mensuration is the study of different dimensions like length, breadth, height, area, and volume of various geometric shapes. It has different types of applications, as it includes real-life problems.
Q. What is the formula to find the area of the cube?
A. To find the area of the cube, you can use the formula 6*a*a.
Q. What is the formula to find the volume of sphere?
A. To find the volume of the sphere you can use the following formula,
4/3(3.14*r*r*r)
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