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Geometry

Published in: Mathematics
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  • Arman R

    • Delhi
    • 3 Years of Experience
    • Qualification: M.Sc, B.Sc
    • Teaches: Mathematics, Algebra
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Cones and pyramids

  • 1
    The Cone A Cone is a three dimensional solid with a circular base and a curved surface that gradually narrows to a vertex. Volume of a Cone 1 — Volume of a Cylinder h 3 1 3 2
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    h Lesson Page Exercise #1 Math A Find the volume of a cylinder with a radius r=l m and height h=2 m. Find the volume of a cone with a radius r=l m and height h=l m Volume of a Cylinder : base x height : Ttr2h = 6.28 Volume of a Cone (1/3) Ttr2h = 2.09
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    Lesson Page Math A Surface Area of a Cone h Find the area of a cone with a radius m and height m. r : the radius h : the height I : the slant height Use the Pythagorean to find I Theorem | (3)2 + (4)2 25 Surface Area of a Cone = 75.36 m2
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    Lesson Page Math A Textbook: P. 421 - 422 p. 439 - 441 Cones - Practice Questions # 2abcd, 3, 4c, 5ab, 10abc
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    Lesson Pace Pyramids Math A A Pyramid is a three dimensional figure with a regular polygon as its base and lateral faces are identical isosceles triangles meeting at a point. Identical isosceles triangles - quadrilateral base - base : pentagon - heptagon base -
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    Lesson Pace Volume of Pyramids Math A Volume of a Pyramid: V : (1/3) Area of the base x height V (1/3) Ah Volume of a Pyramid : 1/3 x Volume of a Prism
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    Lesson Page Exercise #2 Math A Find the volume of the pyramid. height h: 8m apothem side s: 6m Volume : 1/3 (area of base) (height) 1/3 ( : 160 tn3 Area of base : 60 m2
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    Math A Find the surface area of the pyramid. height apothem side Lesson Page Area of Pyramids h: 8m s: 6m Surface Area - area of base + 5 (area of one lateral face) What shape is the base? Area of a pentagon Pa : 60 rn2
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    Math A Find the surface area of the pyramid. height apothem side Lesson Page Area of Pyramids h: 8m s: 6m What shape are the lateral sides? Area of a triangle : base (height) 26.7 m2 Attention! the height of the triangle is the slant height "l " I 82 + 42 80 : 8.9 m
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    Math A Find the surface area of the pyramid. height apothem side Lesson Page Area of Pyramids h: 8m s: 6m Surface Area of the Pyramid 60 m2 + 5(26.7) m2 60 m?-+ 133.5 193.5
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    Lesson Pace Cones - Practice Questions Math A Textbook: P. 421 - 422 p. 439 - 441 Challenging Questions: P. 421 — 422 # 6, 9
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    This powerpoint was kindly donated to www.worldofteachinq.com htto://www.worldofteachinq.com is home to over a thousand powerpoints submitted by teachers. This is a completely free site and requires no registration. Please visit and I hope it will help in your teaching.

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