Take out HW from last night.Take out HW from last night. Text p. 376, #1-24 allText p. 376, #1-24 all

Copy HW in your planner.Copy HW in your planner. Text p. 384, #5-12 all, 15, 19, 20Text p. 384, #5-12 all, 15, 19, 20

In your journal, define the word In your journal, define the word volumevolume in your in your own words. Give 5 examples of items that own words. Give 5 examples of items that contain “volume” you encounter each day. contain “volume” you encounter each day. Describe the unit of measurement for each Describe the unit of measurement for each example.example.

Do Now 5/7/13Do Now 5/7/13

HomeworkHomeworkText p. 376, #1-24 allText p. 376, #1-24 all

1) pentagon; triangles; pentagonal pyramid1) pentagon; triangles; pentagonal pyramid 2) octagons; rectangles; octagonal prism2) octagons; rectangles; octagonal prism 3) triangles; rectangles; triangular prism3) triangles; rectangles; triangular prism 4) not polyhedron; cone4) not polyhedron; cone 5) polyhedron; hexagonal pyramid5) polyhedron; hexagonal pyramid 6) not polyhedron; sphere6) not polyhedron; sphere 7) triangle; triangles; triangular pyramid7) triangle; triangles; triangular pyramid 8) rectangles; rectangles; rectangular prism8) rectangles; rectangles; rectangular prism 9) hexagon; triangles; hexagonal pyramid9) hexagon; triangles; hexagonal pyramid 10) polyhedron; octagonal prism10) polyhedron; octagonal prism 11) not polyhedron; cylinder11) not polyhedron; cylinder

HomeworkHomeworkText p. 376, #1-24 allText p. 376, #1-24 all

12) polyhedron; triangular pyramid12) polyhedron; triangular pyramid 13) square prism13) square prism 14) cylinder14) cylinder 15) triangular pyramid15) triangular pyramid 16) sphere16) sphere 17) cylinder, rectangular prism17) cylinder, rectangular prism 18) cone, rectangular pyramid18) cone, rectangular pyramid 19) rectangular pyramid19) rectangular pyramid 20) cylinder, rectangular prism20) cylinder, rectangular prism 21) cylinder21) cylinder 22) The Unisphere is not a true sphere because it has 22) The Unisphere is not a true sphere because it has

gaps in its surface.gaps in its surface. 23) A23) A 24) G24) G

Objective Objective

SWBAT find the volume of prisms and SWBAT find the volume of prisms and cylinderscylinders

Section 9.5 “Volume of Prisms and Section 9.5 “Volume of Prisms and Cylinders”Cylinders”

Volume-Volume- the measure of how much space is the measure of how much space is occupied by a solid figure.occupied by a solid figure.

MeasurementsMeasurements

Measures of length

Measures of area

Measures of volume

Feet

ft

Square feet

ft²

Cubic feet

ft³

4 ft

4 ft

4 ft

4 ft

4 ft

4 ft

Volume of a triangular prism Volume of a triangular prism

hBV

Volume of a rectangular prism Volume of a rectangular prism

BhV

hbhV

2

1hwlV )(

10 cm

6 cm5 cm

Find the volume of the Find the volume of the rectangular prism.rectangular prism.

Length = 6 cmLength = 6 cmWidth = 5 cmWidth = 5 cmHeight = 10 cmHeight = 10 cm

Volume = 6 x 5 x 10 = 300 cm³Volume = 6 x 5 x 10 = 300 cm³

Volume of a rectangular prism Volume of a rectangular prism

BhV

hwlV )(

10 cm

8 cm

15 cm

Find the volume of the Find the volume of the triangular prism.triangular prism.

Base area = ½(10)(8)Base area = ½(10)(8) = 40cm² = 40cm²

Height = 15cmHeight = 15cm

Volume = 40 x 15= 600cm³Volume = 40 x 15= 600cm³

hBV

hbhV

2

1

Find the Volume of the CylindersFind the Volume of the Cylinders

1) 1)

2) 2)

8 in.

2 in.

V = BhV = BhV = (V = (ππr²)(h)r²)(h)

V = (V = (ππ)(4²)(2))(4²)(2)V = 32V = 32ππ V = 100.48 in.³V = 100.48 in.³

3 in.

7 in. V = BhV = BhV = (V = (ππr²)(h)r²)(h)

V = (9V = (9ππ)(7))(7)V = 197.82 in³V = 197.82 in³

Volume of Composite FiguresVolume of Composite Figures

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

V (4)(6)(12) + (½)(4)(6) · (6) V 288 + 72

V 360 ft3

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 Bh

V (7)(4)(5) + π(2²)(3)

V 140 + 37.68

V 177.68 in3

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 Bh

V (6)(6)(4) + (½)(4)(6) · (6)

V 144 + 72

V 216 in3

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

You are filling your swimming pool with water. The water You are filling your swimming pool with water. The water comes out of the hose at a rate of 10 gallons per minute. comes out of the hose at a rate of 10 gallons per minute.

How long will it take to fill the pool? How long will it take to fill the pool? HINT: One cubic foot is equal to 7.48 gallons.HINT: One cubic foot is equal to 7.48 gallons.

10 ft.

5 ft.

V = BhV = BhV= (V= (ππr²)(h)r²)(h)

V = (100V = (100ππ)(5))(5)V = 500(3.14)V = 500(3.14)V = 1570 ft³V = 1570 ft³

Because one cubic foot is equal 7.48 Because one cubic foot is equal 7.48 gallons, then the pool holds gallons, then the pool holds 1570 x 7.48 1570 x 7.48 = 11,744 gallons of water. = 11,744 gallons of water.

At a rate of 10 gallons per minute, it At a rate of 10 gallons per minute, it would take 1174.4 minutes to fill the would take 1174.4 minutes to fill the pool. pool.