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...
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. ( ...
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 th...
Example 2B: Identifying a Three-Dimensional Figure From a NetDescribe the three-dimensional figure that can bemade from th...
Check It Out! Example 2aDescribe the three-dimensional figure that can bemade from the given net.The net has fourcongruent...
Check It Out! Example 2bDescribe the three-dimensional figure that can bemade from the given net.The net has two circularf...
Lateral Area of a Prism -sum of the areas of thelateral faces.Surface Area of a Prism -sum of the lateral areaand the area...
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 edg...
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...
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...
Find the surface areaSA of a right prismwith height 10cm, if thebase is a regularhexagon with side3cm.(round answer tonear...
Example 1: Drawing Orthographic Views ofan ObjectDraw all six orthographic views of the given object.Assume there are no h...
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
002 s.a.  of prisms
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002 s.a. of prisms

  1. 1. OBJECTIVETo find lateral areaand surface areaof a polyhedron,the prism
  2. 2. Key TermsPolyhedronAltitudeLateral AreaNet
  3. 3. 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.
  4. 4. A cube is a prism with six square faces. Otherprisms and pyramids are named for the shapeof their bases.
  5. 5. PostulateWrite the formula for thevolume of a rightrectangular prism.V = lwhWe will assume prismsare RIGHT from now on
  6. 6. VocabularyPolyhedron- Ageometric solid withpolygons as faces.
  7. 7. NEW DEFINITIONPrism-A polyhedronwith two polygonalbases that are paralleland congruent.
  8. 8. Right Prism - lateral edgesare perpendicular to theplanes of the bases.
  9. 9. VocabularyAltitude of a Prism - anysegment perpendicularto the planescontaining the baseswith endpoints in theseplanes. ( same asHEIGHT)
  10. 10. VocabularyNet - a figure that can befolded to enclose aparticular solid figure
  11. 11. ClassworkDraw a net for a righttriangular prism.Draw a net for a rightpentagonal prism.
  12. 12. Classwork
  13. 13. Classwork
  14. 14. 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.
  15. 15. 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.
  16. 16. 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.
  17. 17. 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.
  18. 18. 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
  19. 19. Classwork
  20. 20. LATERAL AREA
  21. 21. SURFACE AREA
  22. 22. 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.
  23. 23. Lateral Area of a Right PrismIs their a short cut forfinding the lateralarea ?
  24. 24. Lateral Area of a Right PrismThe lateral area LA of aright prism with heighth and perimeter ofbase p is:LA = Hp or L = Hp
  25. 25. 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
  26. 26. VolumeVolume equals Area of theBase times the Height of theobject.V = BHArea of the Base x Height of the object
  27. 27. Find the LA
  28. 28. Find the SA
  29. 29. Lateral Area of a Right PrismFind the lateral area LAof a right prism withheight 10cm, if thebase is a regularhexagon with side3cm.
  30. 30. Find the surface areaSA of a right prismwith height 10cm, if thebase is a regularhexagon with side3cm.(round answer tonearest hundredth)
  31. 31. Example 1: Drawing Orthographic Views ofan ObjectDraw all six orthographic views of the given object.Assume there are no hidden cubes.
  32. 32. Example 1 ContinuedDraw all six orthographic views of the given object.Assume there are no hidden cubes.Bottom
  33. 33. Example 1 ContinuedDraw all six orthographic views of the given object.Assume there are no hidden cubes.
  34. 34. Example 1 ContinuedDraw all six orthographic views of the given object.Assume there are no hidden cubes.
  35. 35. Check It Out! Example 1Draw all six orthographic views of the given object.Assume there are no hidden cubes.
  36. 36. Check It Out! Example 1 Continued
  37. 37. Classwork/HomeworkPractice and Apply 7.2P685 #’s 13-26 and 28-31

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