MENSURATION OF POLYHEDRAL SOLIDSPRISMPYRAMID&

MENSURATION OF POLYHEDRAL SOLIDSPRISMDefinition & IdentificationLateral & Total surface areaVolumePYRAMIDDefinition & IdentificationLateral & Total surface areaVolume

TARGET AUDIENCEMENSURATION OF POLYHEDRAL SOLIDSSTUDENTS OF CLASS 9-10

LEARNING OBJECTIVESAfter interacting with this software a learner will be able to:Identify & define prism,pyramid.Differentiate between prism,pyramidCalculate surface area of prism,pyramid.Calculate volume of prism,pyramid.

For example :Prism ,Pyramids ,Cubes ,TetrahedronPyramidCubeTetrahedronDEFINITION OF POLYHEDRON

A polygon is a two-dimensional shape bounded by straight line segments. A polygon is said to be regular if the edges are of equal length and meet at equal angles

A polyhedron is a three-dimensional figure bounded by polygons

POLYHEDRONIn general for every polyhedron :Lateral surface area =Perimeter of base * heightVolume =Area of base *height

RIGHT PRISM :A right prism is a solid formed by plane faces such that its bases are parallel and congruent polygons, while the lateral faces are all rectangles.edgebaseLateral faces

RIGHT TRIANGULAR PRISMEquilateral triangle Base ishIn right triangular prism base is equilateral triangle& height is the distance between two bases.Lateral surface area = Perimeter of base X heightL.S.A. = 3a * ha`a = side of base`h = height of prism

RIGHT TRIANGULAR PRISMhaL.S.A. + 2 (Area of base )Whole surface area = (Perimeter of base) X h + 2 ( Area of base)W.S.A. = 3a * h +2ahaaWhole Surface Area

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RIGHT TRIANGULAR PRISMhaL.S.A. + 2 (Area of base )Whole surface area = (Perimeter of base) X h + 2 ( Area of base)W.S.A. = 3a * h +2ahaaWhole Surface Area

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RIGHT TRIANGULAR PRISMhaL.S.A. + 2 (Area of base )Whole surface area = (Perimeter of base) X h + 2 ( Area of base)W.S.A. = 3a * h +2ahaaWhole Surface Area

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RIGHT TRIANGULAR PRISMhaL.S.A. + 2 (Area of base )Whole surface area = (Perimeter of base) X h + 2 ( Area of base)W.S.A. = 3a * h +2ahaaWhole Surface Area

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RIGHT TRIANGULAR PRISMhaL.S.A. + 2 (Area of base )Whole surface area = (Perimeter of base) X h + 2 ( Area of base)W.S.A. = 3a * h +2ahaaWhole Surface Area

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RIGHT TRIANGULAR PRISMhahaArea of base X heightV = 4a* hVolume

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RIGHT TRIANGULAR PRISMhahaArea of base X heightV = 4a* hVolume

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RIGHT TRIANGULAR PRISMhahaArea of base X heightV = 4a* hVolume

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RIGHT TRIANGULAR PRISMhahaArea of base X heightV = 4a* hVolume

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RIGHT TRIANGULAR PRISMhahaArea of base X heightV = 4a* hVolume

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RIGHT TRIANGULAR PRISMhahaArea of base X heightV = 4a* hVolume

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PYRAMIDA Pyramid is a solid figure formed by plane faces one of which called the base, is any rectilinear figure ,& the rest are triangles having a common vertex at a point outside the plane of the base.vertexRectilinear baseTriangular face

RIGHT PYRAMIDOABCGMIn right pyramid line segment OG joining vertex to the centroid of the base ,is perpendicular to the base ABC.`OG is the height(h) of the pyramid.`OM is the slant height(l),the length of the line segment joining the mid-point of any side of base.hla

RIGHT PYRAMIDOABCGMhl(Perimeter of base X Slant Height)Lateral Surface AreaL.S.A.=3a2* l

Where a= Side of Basel= Slant height a

RIGHT PYRAMIDTotal Surface AreaOABCGMhlaL.S.A. + Area of baseT.S.A.=3a2* l +Where a= Side of Basel= Slant height 4a

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RIGHT PYRAMIDOABCGMhl1/3 (Area of base X Height)VolumeWhere a= Side of Baseh= Perpendicular height V = a* h12a

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