002 s.a.  of prisms
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002 s.a. of prisms

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    002 s.a.  of prisms 002 s.a. of prisms Presentation Transcript

    • OBJECTIVETo find lateral areaand surface areaof a polyhedron,the prism
    • Key TermsPolyhedronAltitudeLateral AreaNet
    • Three-dimensional figures, or solids, can be madeup of flat or curved surfaces. Each flat surface iscalled a face. An edge is the segment that is theintersection of two faces. A vertex is the point that isthe intersection of three or more faces.
    • A cube is a prism with six square faces. Otherprisms and pyramids are named for the shapeof their bases.
    • PostulateWrite the formula for thevolume of a rightrectangular prism.V = lwhWe will assume prismsare RIGHT from now on
    • VocabularyPolyhedron- Ageometric solid withpolygons as faces.
    • NEW DEFINITIONPrism-A polyhedronwith two polygonalbases that are paralleland congruent.
    • Right Prism - lateral edgesare perpendicular to theplanes of the bases.
    • VocabularyAltitude of a Prism - anysegment perpendicularto the planescontaining the baseswith endpoints in theseplanes. ( same asHEIGHT)
    • VocabularyNet - a figure that can befolded to enclose aparticular solid figure
    • ClassworkDraw a net for a righttriangular prism.Draw a net for a rightpentagonal prism.
    • Classwork
    • Classwork
    • Example 2A: Identifying a Three-Dimensional Figure From a NetDescribe the three-dimensional figure that can bemade from the given net.The net has sixcongruent squarefaces. So the netforms a cube.
    • Example 2B: Identifying a Three-Dimensional Figure From a NetDescribe the three-dimensional figure that can bemade from the given net.The net has one circularface and onesemicircular face. Theseare the base and slopingface of a cone. So the netforms a cone.
    • Check It Out! Example 2aDescribe the three-dimensional figure that can bemade from the given net.The net has fourcongruent triangularfaces. So the netforms a triangularpyramid.
    • Check It Out! Example 2bDescribe the three-dimensional figure that can bemade from the given net.The net has two circularfaces and onerectangular face. Theseare the bases and curvedsurface of a cylinder. Sothe net forms a cylinder.
    • Lateral Area of a Prism -sum of the areas of thelateral faces.Surface Area of a Prism -sum of the lateral areaand the areas of the twobases
    • Classwork
    • LATERAL AREA
    • SURFACE AREA
    • Prisms and cylinders have 2 congruent parallelbases.A lateral face is not a base. The edges of the base arecalled base edges. A lateral edge is not an edge of abase. The lateral faces of a right prism are allrectangles. An oblique prism has at least onenonrectangular lateral face.
    • Lateral Area of a Right PrismIs their a short cut forfinding the lateralarea ?
    • Lateral Area of a Right PrismThe lateral area LA of aright prism with heighth and perimeter ofbase p is:LA = Hp or L = Hp
    • Surface Area of a RightPrismThe surface area SA of aright prism with lateral LAand the area of a base Bis:SA = LA + 2Bor S =L + 2B
    • VolumeVolume equals Area of theBase times the Height of theobject.V = BHArea of the Base x Height of the object
    • Find the LA
    • Find the SA
    • Lateral Area of a Right PrismFind the lateral area LAof a right prism withheight 10cm, if thebase is a regularhexagon with side3cm.
    • Find the surface areaSA of a right prismwith height 10cm, if thebase is a regularhexagon with side3cm.(round answer tonearest hundredth)
    • Example 1: Drawing Orthographic Views ofan ObjectDraw all six orthographic views of the given object.Assume there are no hidden cubes.
    • Example 1 ContinuedDraw all six orthographic views of the given object.Assume there are no hidden cubes.Bottom
    • Example 1 ContinuedDraw all six orthographic views of the given object.Assume there are no hidden cubes.
    • Example 1 ContinuedDraw all six orthographic views of the given object.Assume there are no hidden cubes.
    • Check It Out! Example 1Draw all six orthographic views of the given object.Assume there are no hidden cubes.
    • Check It Out! Example 1 Continued
    • Classwork/HomeworkPractice and Apply 7.2P685 #’s 13-26 and 28-31