MENSURATION

Mensuration is one of the branches of mathematics.This means measurement.It is is being done in our life in many situations.

For example,

A Length of cloth we need for stitching,the area of a wall which is being painted, perimeter of the circular garden to be fenced, quantity of water needed to fill the tank.For these kind of activities, we are doing measurements for further needs.

Here, we are going to cover three concepts.

1.Perimeter

2.Area

3.Volume

Apart from the examples and practice questions in the above three areas, we also give calculators in this topic which can be used by the students to check their answers which they have found for the questions they have.You can use any of the given calculators to get answer for your questions in seconds.

Mensuration Calculators

1. Rectangle Area Calculator

2. Acreage Calculator

3. Circle Calculator

4. Sphere Calculator

5. Hemisphere Calculator

6. Cone Calculator

7. Cylinder Calculator

8. Rectangle Calculator

9. Kite Area Calculator

10. Cube Volume Calculator

11. Cube Area Calculator

12. Pyramid Calculator

13. Square Calculator

14. Barrel Volume Calculator

15. Pipe Volume Calculator

16. Rhombus Area Calculator

17. Cuboid Calculator

18. Heron's Triangle Area Calculator

19. Trapezium Area Calculator

20. Regular Polygon Area Calculator

21. Polygon Angle Calculator

22. Circle Sector Area Calculator

Please click the below link to get calculators in other areas of math.

Math Calculators

Please click the below link to get printable math worksheets

Printable Math Worksheets

Founder of Mensuration:

Archimedes is remembered as the greatest mathematician of ancient area.He is one of the most famous Greek mathematicians contributed significantly in geometry regarding the area of plane figures and areas as well as volumes of curved surfaces.

For example, in his development of integration and calculus, he tried to find a value for π by using circumscribed and inscribed polygons, eventually using 96 sided polygons inside and outside a circle to generate a value for Pi of between 31⁄7 (approximately 3.1429) and 310⁄71 (approximately 3.1408). This range of values is extremely accurate, as the actual value is 3.1416. This is just one example of his inventions.

In this topic we are going study about perimeter, area and volume of different shapes like a cylinder,cone,sphere,hemisphere etc..These shapes are called geometric shapes.

Apart from our aim towards the exam, like preparing for exams,aiming to score more marks in exams, we need the formulas and concepts of this topic to solve some problems in our day to day life also.

A painter charges $5 per square meter to paint a wall.Mr.Joseph has wall whose  length is 5m and width is 4m.How much does Mr.Joseph have to pay to paint the wall?

This is a problem we usually face in our day to day life.  

To find a solution to this problem, we need to determine the area of the wall.After determining the area of the wall, we can easily find the total money required to paint the wall.To find the area of the wall, we need a formula.That we get from this topic.

Let us look at another example.

We have cylindrical tank whose radius and height is 1 meter and 3 meters respectively.Find the volume of water required to fill up the tank.

To solve the above problem we need the formula to find the volume of the cylinder. To solve these  type of problems in our  life, we require the concepts of volume.For different shapes we have different formulas.

You can  click the following links to know  about the given sub topics of mensuration

jQuery UI Accordion - Default functionality
Area of rectangle = L x W

Here "L" represents length of the rectangle and "W" represents width of the rectangle
jQuery UI Dialog functionality
Perimeter of rectangle = 2 (L + W)

Here "L" represents length of the rectangle and "W" represents width of the rectangle


jQuery UI Dialog functionality
Area of square = a x a

Here "a" represents side length of the square.

jQuery UI Dialog functionality
Perimeter of square = 4 a

Here "a" represents side length of the square.


jQuery UI Dialog functionality
Area of parallelogram = b x h

Here "b" represents base length and "h" represents height.

jQuery UI Dialog functionality
Area of parallelogram = 2 (L + W)

Here "L" represents length and "W" represents width of the parallelogram.


jQuery UI Dialog functionality
Area of Rhombus = (1/2) x (d₁ x d₂)

Here "d1" and "d2" are representing length of both diagonals of the rhombus.

jQuery UI Dialog functionality
Perimeter of Rhombus = 2 √d₁² + d₂² (or) 4 a

By using either of these formulas we can find the perimeter of the rhombus. Here "d1" and "d2" are representing length of both diagonals of the rhombus and "a" represents side length of the rhombus.



jQuery UI Dialog functionality
area of quadrilateral = (1/2) x d x (h₁ + h₂)

Here "d" represents length of diagonal. "h1" and "h2" are representing perpendicular length of the quadrilateral.



jQuery UI Dialog functionality
area of quadrilateral = (1/2) x d x (h₁ + h₂)

Here "d" represents length of diagonal. "h1" and "h2" are representing perpendicular length of the quadrilateral.



jQuery UI Dialog functionality
area of triangle = (1/2) x b x h

Here "b" represents the base length and "h" represents height of the triangle.


jQuery UI Dialog functionality
area of scalene triangle = √s(s-a)(s-b)(s-c)

Here "s" represents the sum of the sides of the triangle/2. The side length of the triangle mentioned as a,b and c.

jQuery UI Dialog functionality
Perimeter of scalene triangle s = (a + b + c)/2

Here the side length of the triangle mentioned as a,b and c.



jQuery UI Dialog functionality
area equilateral triangle = (√3/4) a²

Here "a" represents the side length of the triangle.

jQuery UI Dialog functionality
perimeter of area equilateral triangle P = a + b + c

Here "a","c" and "c" are representing the side length of the triangle.


jQuery UI Dialog functionality
area of sector = (θ/360) x Π r ² square units

        = (1/2) x l r square units

Here "θ", "r" and "l" are representing angle formed by two radii, radius of the sector and length of arc respectively.

jQuery UI Dialog functionality
Perimeter of sector = L + 2 r

Here "L" represents length of arc and "r" represents radius of the sector.


jQuery UI Dialog functionality
Area of circle = Π r²

Here "r" represents radius of the circle.

jQuery UI Dialog functionality
Circumference of circle = 2 Π r

Here "r" represents radius of the circle.



jQuery UI Dialog functionality
Area of Semicircle = (1/2) Π r²

Here "r" represents radius of the semicircle.

jQuery UI Dialog functionality
Perimeter of semicircle = Πr

Here "r" represents radius of the semicircle.



jQuery UI Dialog functionality
Area of quad-rant = (1/4) Π r²

Here "r" represents radius of the quadrant.


jQuery UI Dialog functionality
curved surface area of cylinder = 2 Π r h<

Here "r" and "h" are representing radius and height of the cylinder.

jQuery UI Dialog functionality
total surface area of cylinder = 2 Π r (h + r)

Here "r" and "h" are representing radius and height of the cylinder.

jQuery UI Accordion - Default functionality
Volume of cylinder = Π r2h

Here "r" and "h" are representing radius and height of the cylinder.

jQuery UI Accordion - Default functionality
Curved surface area of cone = Π r L

Here "r" and "L" are representing radius and slant height of the cone.
jQuery UI Accordion - Default functionality
Total surface area of cone = Π r (L + r)

Here "r" and "L" are representing radius and slant height of the cone.
jQuery UI Accordion - Default functionality
Volume of cone = (1/3)Π r2 h

Here "r" and "h" are representing radius and height of the cone.

jQuery UI Accordion - Default functionality
Curved surface area of sphere = 4Π r2

Here "r" represents radius of the sphere.
jQuery UI Accordion - Default functionality
Volume of sphere = (4/3)Π r3

Here "r" represents radius of the sphere.
HTML Comment Box is loading comments...

ALGEBRA

Variables and constants

Writing and evaluating expressions

Solving linear equations using elimination method

Solving linear equations using substitution method

Solving linear equations using cross multiplication method

Solving one step equations

Solving quadratic equations by factoring

Solving quadratic equations by quadratic formula

Solving quadratic equations by completing square

Nature of the roots of a quadratic equations

Sum and product of the roots of a quadratic equations 

Algebraic identities

Solving absolute value equations 

Solving Absolute value inequalities

Graphing absolute value equations  

Combining like terms

Square root of polynomials 

HCF and LCM 

Remainder theorem

Synthetic division

Logarithmic problems

Simplifying radical expression

Comparing surds

Simplifying logarithmic expressions

Negative exponents rules

Scientific notations

Exponents and power

COMPETITIVE EXAMS

Quantitative aptitude

Multiplication tricks

APTITUDE TESTS ONLINE

Aptitude test online

ACT MATH ONLINE TEST

Test - I

Test - II

TRANSFORMATIONS OF FUNCTIONS

Horizontal translation

Vertical translation

Reflection through x -axis

Reflection through y -axis

Horizontal expansion and compression

Vertical  expansion and compression

Rotation transformation

Geometry transformation

Translation transformation

Dilation transformation matrix

Transformations using matrices

ORDER OF OPERATIONS

BODMAS Rule

PEMDAS Rule

WORKSHEETS

Converting customary units worksheet

Converting metric units worksheet

Decimal representation worksheets

Double facts worksheets

Missing addend worksheets

Mensuration worksheets

Geometry worksheets

Comparing  rates worksheet

Customary units worksheet

Metric units worksheet

Complementary and supplementary worksheet

Complementary and supplementary word problems worksheet

Area and perimeter worksheets

Sum of the angles in a triangle is 180 degree worksheet

Types of angles worksheet

Properties of parallelogram worksheet

Proving triangle congruence worksheet

Special line segments in triangles worksheet

Proving trigonometric identities worksheet

Properties of triangle worksheet

Estimating percent worksheets

Quadratic equations word problems worksheet

Integers and absolute value worksheets

Decimal place value worksheets

Distributive property of multiplication worksheet - I

Distributive property of multiplication worksheet - II

Writing and evaluating expressions worksheet

Nature of the roots of a quadratic equation worksheets

Determine if the relationship is proportional worksheet

TRIGONOMETRY

SOHCAHTOA

Trigonometric ratio table

Problems on trigonometric ratios

Trigonometric ratios of some specific angles

ASTC formula

All silver tea cups

All students take calculus 

All sin tan cos rule

Trigonometric ratios of some negative angles

Trigonometric ratios of 90 degree minus theta

Trigonometric ratios of 90 degree plus theta

Trigonometric ratios of 180 degree plus theta

Trigonometric ratios of 180 degree minus theta

Trigonometric ratios of 180 degree plus theta

Trigonometric ratios of 270 degree minus theta

Trigonometric ratios of 270 degree plus theta

Trigonometric ratios of angles greater than or equal to 360 degree

Trigonometric ratios of complementary angles

Trigonometric ratios of supplementary angles 

Trigonometric identities 

Problems on trigonometric identities 

Trigonometry heights and distances

Domain and range of trigonometric functions 

Domain and range of inverse  trigonometric functions

Solving word problems in trigonometry

Pythagorean theorem

MENSURATION

Mensuration formulas

Area and perimeter

Volume

GEOMETRY

Types of angles 

Types of triangles

Properties of triangle

Sum of the angle in a triangle is 180 degree

Properties of parallelogram

Construction of triangles - I 

Construction of triangles - II

Construction of triangles - III

Construction of angles - I 

Construction of angles - II

Construction angle bisector

Construction of perpendicular

Construction of perpendicular bisector

Geometry dictionary

Geometry questions 

Angle bisector theorem

Basic proportionality theorem

ANALYTICAL GEOMETRY

Analytical geometry formulas

Distance between two points

Different forms equations of straight lines

Point of intersection

Slope of the line 

Perpendicular distance

Midpoint

Area of triangle

Area of quadrilateral

Parabola

CALCULATORS

Matrix Calculators

Analytical geometry calculators

Statistics calculators

Mensuration calculators

Algebra calculators

Chemistry periodic calculator

MATH FOR KIDS

Missing addend 

Double facts 

Doubles word problems

LIFE MATHEMATICS

Direct proportion and inverse proportion

Constant of proportionality 

Unitary method direct variation

Unitary method inverse variation

Unitary method time and work

SYMMETRY

Order of rotational symmetry

Order of rotational symmetry of a circle

Order of rotational symmetry of a square

Lines of symmetry

CONVERSIONS

Converting metric units

Converting customary units

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations 

Word problems on linear equations 

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation 

Word problems on unit price

Word problems on unit rate 

Word problems on comparing rates

Converting customary units word problems 

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles 

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems 

Profit and loss word problems 

Markup and markdown word problems 

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed 

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS 

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6