Mensuration And Mensuration Formulas PDF

Mensuration and Mensuration FormulasMensuration is the branch of mathematics which studies the measurement of thegeometric figures and their parameters like length, volume, shape, surface area,lateral surface area, etc. You will study the mensuration formulas and propertiesof different geometric shapes and figures in maths in this article.Mensuration Maths- DefinitionA branch of mathematics which talks about the length, volume or area of differentshapes is called Mensuration. These shapes exist in 2 dimension or 3dimensions. Let’s learn the difference between the two.Difference Between 2D and 3D shapes2D Shape3D ShapeIf a shape is surrounded by three ormore straight lines in a plane, then it isa 2D shape.If a shape is surrounded by a no. ofsurfaces or planes then it is a 3Dshape.These shapes have no depth or height.These are also called as solid shapesand unlike 2D they have both heightor depth.These shapes have only 2-D lengthand breadth.These are called Three dimensionalas they have depth, breadth andlength.We can measure their area andPerimeter.We can measure their volume, CSA,LSA or TSA.Mensuration in Maths- Important TerminologiesLet’s learn a few more definitions related to this topic.AreaA M2/cmThe area is the surface which is covered by the closedshape.2Perimeter P Cm/mThe measure of the continuous line along the boundary ofthe given figure is called a Perimeter.

Mensuration and Mensuration Formulas PDF for 2D and 3D shapesVolumeV Cm3/m3In a 3D shape, the space included is called a Volume.CurvedSurfaceAreaC M2S /A cmIf there’s a curved surface, then the total area is called aCurved Surface area. Example: Sphere or Cylinder.2LateralSurfaceareaL M2S /A cmThe total area of all the lateral surfaces that surrounds thefigure is called the Lateral Surface area.2TotalSurfaceAreaT M2S /A cmIf there are many surfaces like in 3D figures, then the sumof the area of all these surfaces in a closed shape is calledTotal Surface area.2SquareUnit–M2/cmThe area covered by a square of side one unit is called aSquare unit.2CubeUnit–M3/cmThe volume occupied by a cube of one side one unit3Mensuration FormulasNow let’s learn all the important mensuration formulas involving 2D and 3Dshapes. Using this mensuration formula list, it will be easy to solve themensuration problems. Students can also download the mensuration formulas listPDF from the link given above.Mensuration Formulas For 2D FiguresShapeArea (Square r(units)Figure2/5

Mensuration and Mensuration Formulas PDF for 2D and 3D shapesSauarea24aRecatnglelxb2 ( l b)Circleπr22πrScaleneTriangle s(s a)(s b)(s c)IsoscelesTriangleEquilateralTriangle, a b cs (a b c)/2½xbxh 34a22a b3aRight AngleTriangle½xbxhb hypotenuse hRhombus(1/2) x d1 x d24 x sideParallelograbxh2(l b)https://byjus.com/maths/mensuration/3/5

Mensuration and Mensuration Formulas PDF for 2D and 3D shapesg()mTrapezium(1/2) h(a b)a b c dMensuration Formulas for 3D FiguresShapeVolume (Cubicunits)Cube a3Curved SurfaceArea(CSA)(Square units)Total SurfaceArea(TSA)(Square units)–6 a2Cuboidlxwxh–2 (lb bh hl)Sphere(4/3) π r34 π r24 π r2Hemisphere(⅔) π gure4/5

Mensuration - Definition and Formulas for 2D and 3D shapesCyli π r 2 hnder2π r h2πrh 2πr2Cone (⅓) π r2 hπrlπr (r l)Mensuration ProblemsQuestion : Find the area and perimeter of a square whose side is 5 cm?Solution:Given:Side 5 cmArea of a square a2 square unitsSubstitute the value of “a” in the formula, we getArea of a square 52A 5 . 5 25Therefore, the area of a square 25 cm2The perimeter of a square 4a unitsP 4 . 5 20Therefore, the perimeter of a square 20 cm.https://byjus.com/maths/mensuration/5/5

shapes is called Mensuration. These shapes exist in 2 dimension or 3 dimensions. Let’s learn the difference between the two. Difference Between 2D and 3D shapes 2D Shape 3D Shape If a shape is surrounded by three or more straight lines in a plane, then it is a 2D shape. If a shape is surrounded by a no. o