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Volume and Surface Area of Prisms and Cylinders Lesson

Learn and apply the formulas for finding volume and surface area of prisms and cylinders. Includes examples and practice exercises.

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Volume and Surface Area of Prisms and Cylinders Lesson

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  1. 11-2 Volume of Prisms and Cylinders Warm Up Lesson Presentation Lesson Quiz Holt McDougal Geometry Holt Geometry

  2. Warm Up Find the area of each figure. Round to the nearest tenth. 1.an equilateral triangle with edge length 20 cm 2. a regular hexagon with edge length 14 m 3. a circle with radius 6.8 in. 4. a circle with diameter 14 ft 173.2 cm2 509.2 m2 145.3 in2 153.9 ft2

  3. Objectives Learn and apply the formula for the volume & surface area of a prism. Learn and apply the formula for the volume & surface area of a cylinder.

  4. Vocabulary Volume Surface Area

  5. What is a Prism? • A prism is a three dimensional object with two parallel congruent bases and rectangular faces (sides).

  6. What is a Cylinder? • A cylinder is a three dimensional object with two parallel congruent circular bases and one face.

  7. Surface Areawith base area B, height h, and base perimeter P is SA = Ph+2B

  8. Example 1A: Finding Volumes of Prisms Find the volume & surface area of the prism. Round to the nearest tenth, if necessary. V = Bh Volume of a right rectangular prism = (13)(3)(5) = 195 cm3 Substitute (13)(3) for B, and 5 for h.

  9. Example 1B: Finding Volumes of Prisms Find the volume & surface area of a cube with edge length 15 in. Round to the nearest tenth, if necessary. V = Bh Volume of a cube = (15)(15)(15) = 3375 in3 Substitute (15)(15) for B, 15 for h.

  10. Example 1C: Finding Volumes of Prisms Find the volume & surface area of the right regular hexagonal prism. Round to the nearest tenth, if necessary.

  11. Check It Out! Example 1 Find the volume & surface area of a triangular prism with a height of 9 yd whose base is a right triangle with legs 7 yd and 5 yd long. Volume of a triangular prism

  12. Surface Areawith base area B, height h, and base perimeter P is SA = Ph+2B

  13. Example: • Find the volume & surface area of the cylinder.

  14. Classwork/Homework • 11.2 #’s: 1-4, 6-8, 13-15, 17, 18

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