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Do Now 5/7/13

Do Now 5/7/13. Take out HW from last night. Text p. 376, #1-24 all Copy HW in your planner. Text p. 384, #5-12 all, 15, 19, 20

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Do Now 5/7/13

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  1. Do Now 5/7/13 • Take out HW from last night. • Text p. 376, #1-24 all • Copy HW in your planner. • Text p. 384, #5-12 all, 15, 19, 20 • In your journal, define the word volume in your own words. Give 5 examples of items that contain “volume” you encounter each day. Describe the unit of measurement for each example.

  2. 1) pentagon; triangles; pentagonal pyramid 2) octagons; rectangles; octagonal prism 3) triangles; rectangles; triangular prism 4) not polyhedron; cone 5) polyhedron; hexagonal pyramid 6) not polyhedron; sphere 7) triangle; triangles; triangular pyramid 8) rectangles; rectangles; rectangular prism 9) hexagon; triangles; hexagonal pyramid 10) polyhedron; octagonal prism 11) not polyhedron; cylinder HomeworkText p. 376, #1-24 all

  3. 12) polyhedron; triangular pyramid 13) square prism 14) cylinder 15) triangular pyramid 16) sphere 17) cylinder, rectangular prism 18) cone, rectangular pyramid 19) rectangular pyramid 20) cylinder, rectangular prism 21) cylinder 22) The Unisphere is not a true sphere because it has gaps in its surface. 23) A 24) G HomeworkText p. 376, #1-24 all

  4. Objective • SWBAT find the volume of prisms and cylinders

  5. Section 9.5 “Volume of Prisms and Cylinders” Volume- the measure of how much space is occupied by a solid figure.

  6. Measurements Measures of length Measures of area Measures of volume 4 ft 4 ft 4 ft 4 ft 4 ft 4 ft Feet ft Square feet ft² Cubic feet ft³

  7. Volume of a triangular prism Volume of a rectangular prism

  8. Find the volume of the rectangular prism. 6 cm 5 cm Volume of a rectangular prism 10 cm Length = 6 cm Width = 5 cm Height = 10 cm Volume = 6 x 5 x 10 = 300 cm³

  9. Find the volume of the triangular prism. 15 cm 10 cm 8 cm Base area = ½(10)(8) = 40cm² Height = 15cm Volume = 40 x 15= 600cm³

  10. Find the Volume of the Cylinders V = Bh V = (πr²)(h) 8 in. • 1) • 2) V = (π)(4²)(2) V = 32π V = 100.48 in.³ 2 in. V = Bh V = (πr²)(h) 7 in. V = (9π)(7) V = 197.82 in³ 3 in.

  11. Volume of Composite Figures • To find the volume of a three-dimensional composite figure, add the volumes of the simpler figures.

  12. Find the volume of the composite figure to the nearest ft. Use 3.14 for . Volume of a composite figure Volume of triangular prism Volume of prism + = + = Bh Bh V V (4)(6)(12) + (½)(4)(6) · (6)‏ V 288 + 72 V 360 ft3

  13. Find the volume of the composite figure to the nearest ft. Use 3.14 for . Volume of a composite figure Volume of cylinder Volume of prism + = + = Bh Bh V V (7)(4)(5) + π(2²)(3)‏ V  140 + 37.68 V  177.68 in3

  14. Find the volume of the composite figure to the nearest ft. Use 3.14 for . Volume of a composite figure Volume of triangular prism Volume of prism + = + = Bh Bh V V (6)(6)(4) + (½)(4)(6) · (6)‏ V  144 + 72 V 216 in3

  15. Homework • Text p. 384, #5-12 all, 15, 19, 20

  16. You are filling your swimming pool with water. The water comes out of the hose at a rate of 10 gallons per minute. How long will it take to fill the pool? HINT: One cubic foot is equal to 7.48 gallons. 10 ft. 5 ft. V = Bh V= (πr²)(h) Because one cubic foot is equal 7.48 gallons, then the pool holds 1570 x 7.48 = 11,744 gallons of water. V = (100π)(5) V = 500(3.14) V = 1570 ft³ At a rate of 10 gallons per minute, it would take 1174.4 minutes to fill the pool.

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