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

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

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

Objective SWBAT find the volume of prisms and cylinders SWBAT find the volume of prisms and cylinders

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

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

Volume of a triangular prism Volume of a rectangular prism

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

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

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

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

Find the volume of the composite figure to the nearest ft. Use 3.14 for  Volume of a composite figure Volume of prism = + Volume of triangular prism V = + Bh V  (4)(6)(12) + (½)(4)(6) · (6) ‏ V  V  360 ft 3

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

Find the volume of the composite figure to the nearest ft. Use 3.14 for  Volume of a composite figure Volume of prism = + Volume of triangular prism V = + Bh V  (6)(6)(4) + (½)(4)(6) · (6) ‏ V  V  216 in 3

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

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) V = (100π)(5) V = 500(3.14) V = 1570 ft³ Because one cubic foot is equal 7.48 gallons, then the pool holds 1570 x 7.48 = 11,744 gallons of water. At a rate of 10 gallons per minute, it would take minutes to fill the pool.