fcat countdown day 1 – part 2 volumebenchmark:b.2.4.1 use the left and right arrow keys to...
TRANSCRIPT
![Page 1: FCAT Countdown DAY 1 – PART 2 VOLUMEBenchmark:B.2.4.1 Use the left and right arrow keys to navigate through this presentation](https://reader036.vdocuments.us/reader036/viewer/2022070408/56649e545503460f94b4aad2/html5/thumbnails/1.jpg)
FCAT CountdownFCAT Countdown
DAY 1 – PART 2DAY 1 – PART 2
VOLUMEVOLUME
Benchmark: Benchmark:
B.2.4.1B.2.4.1
Use the left and right arrow keys to navigate through this presentation.
![Page 2: FCAT Countdown DAY 1 – PART 2 VOLUMEBenchmark:B.2.4.1 Use the left and right arrow keys to navigate through this presentation](https://reader036.vdocuments.us/reader036/viewer/2022070408/56649e545503460f94b4aad2/html5/thumbnails/2.jpg)
ObjectivesObjectivesCompute volume of 3D figuresCompute volume of 3D figures
![Page 3: FCAT Countdown DAY 1 – PART 2 VOLUMEBenchmark:B.2.4.1 Use the left and right arrow keys to navigate through this presentation](https://reader036.vdocuments.us/reader036/viewer/2022070408/56649e545503460f94b4aad2/html5/thumbnails/3.jpg)
AgendaAgendaReview Volume Review Volume Example ProblemsExample ProblemsPractice Problems for a gradePractice Problems for a grade
![Page 4: FCAT Countdown DAY 1 – PART 2 VOLUMEBenchmark:B.2.4.1 Use the left and right arrow keys to navigate through this presentation](https://reader036.vdocuments.us/reader036/viewer/2022070408/56649e545503460f94b4aad2/html5/thumbnails/4.jpg)
Things You Should KnowThings You Should Know
Area of Area of RectangleRectangle = b*h = b*hArea of Area of CircleCircle = = ππrr22
Area of Area of TriangleTriangle = ½ b*h = ½ b*h
![Page 5: FCAT Countdown DAY 1 – PART 2 VOLUMEBenchmark:B.2.4.1 Use the left and right arrow keys to navigate through this presentation](https://reader036.vdocuments.us/reader036/viewer/2022070408/56649e545503460f94b4aad2/html5/thumbnails/5.jpg)
Review: VolumeReview: VolumeThis section will cover the five figures This section will cover the five figures
that appear most oftenthat appear most oftenRemember: Area is 2-dimensional Remember: Area is 2-dimensional
and Volume is 3-dimensionaland Volume is 3-dimensionalVolume is the amount of space inside Volume is the amount of space inside
an objectan objectVolume is measured in cubic unitsVolume is measured in cubic units
![Page 6: FCAT Countdown DAY 1 – PART 2 VOLUMEBenchmark:B.2.4.1 Use the left and right arrow keys to navigate through this presentation](https://reader036.vdocuments.us/reader036/viewer/2022070408/56649e545503460f94b4aad2/html5/thumbnails/6.jpg)
The Rectangular PrismThe Rectangular Prism Packaging cheese slices Packaging cheese slices
might be a good way to might be a good way to think about finding the think about finding the volume of the rectangular volume of the rectangular prismprism
Ex.1 – How much cheese Ex.1 – How much cheese is contained in the carton is contained in the carton illustrated at right?illustrated at right?
3 in
2 in
5 in
![Page 7: FCAT Countdown DAY 1 – PART 2 VOLUMEBenchmark:B.2.4.1 Use the left and right arrow keys to navigate through this presentation](https://reader036.vdocuments.us/reader036/viewer/2022070408/56649e545503460f94b4aad2/html5/thumbnails/7.jpg)
The Rectangular PrismThe Rectangular PrismFirst, we need one slice – the slice is First, we need one slice – the slice is
2 by 3 inches2 by 3 inchesThe area of the slice is 2 * 3 = 6 The area of the slice is 2 * 3 = 6
square inchessquare inches
2 in
3 in
If we stack the cheese 5 in high, we form our rectangular prism.
It’s volume is the area of one slice multiplied by the height!
V = Area of the Base * Height
In this case, 2*3*5 = 30 cubic inches
3 in
2 in
5 in
![Page 8: FCAT Countdown DAY 1 – PART 2 VOLUMEBenchmark:B.2.4.1 Use the left and right arrow keys to navigate through this presentation](https://reader036.vdocuments.us/reader036/viewer/2022070408/56649e545503460f94b4aad2/html5/thumbnails/8.jpg)
The CylinderThe CylinderLet’s stack pancakesLet’s stack pancakes
Ex.2 – What is the volume of this stack of pancakes?
The area of one pancake would be: Area of a circle = πr2
= π72
= 49π cm2 Volume = Area of the Base * HeightV = 49π*10= 490π cm3
7 cm
10 cm
![Page 9: FCAT Countdown DAY 1 – PART 2 VOLUMEBenchmark:B.2.4.1 Use the left and right arrow keys to navigate through this presentation](https://reader036.vdocuments.us/reader036/viewer/2022070408/56649e545503460f94b4aad2/html5/thumbnails/9.jpg)
The Square PyramidThe Square PyramidThe pyramid is 1/3 of a The pyramid is 1/3 of a
prism.prism.
The volume would be The volume would be V = 1/3*Area of Base* HeightV = 1/3*Area of Base* Height
In this case,In this case,
V = 1/3*10*10*6V = 1/3*10*10*6
= 200 in= 200 in22
10 in
h = 6 in
![Page 10: FCAT Countdown DAY 1 – PART 2 VOLUMEBenchmark:B.2.4.1 Use the left and right arrow keys to navigate through this presentation](https://reader036.vdocuments.us/reader036/viewer/2022070408/56649e545503460f94b4aad2/html5/thumbnails/10.jpg)
The ConeThe ConeThe cone is 1/3 the cylinder.The cone is 1/3 the cylinder.
The volume of the cone The volume of the cone would bewould be
V = 1/3*Area of Base*HeightV = 1/3*Area of Base*Height
In this case,In this case,
V = 1/3* V = 1/3* ππ*5*522*12*12
V = 1/3*V = 1/3* π π*25*12*25*12
V = 100V = 100 π π cm cm22
h = 12 cmr = 5 cm
![Page 11: FCAT Countdown DAY 1 – PART 2 VOLUMEBenchmark:B.2.4.1 Use the left and right arrow keys to navigate through this presentation](https://reader036.vdocuments.us/reader036/viewer/2022070408/56649e545503460f94b4aad2/html5/thumbnails/11.jpg)
The SphereThe Sphere
• The Volume of the Sphere is The Volume of the Sphere is
4 4
--- --- ππ r r 33
33
![Page 12: FCAT Countdown DAY 1 – PART 2 VOLUMEBenchmark:B.2.4.1 Use the left and right arrow keys to navigate through this presentation](https://reader036.vdocuments.us/reader036/viewer/2022070408/56649e545503460f94b4aad2/html5/thumbnails/12.jpg)
Practice ProblemsPractice Problems
Go to Click on the link below to go to Go to Click on the link below to go to the practice problems:the practice problems:
http://stuff4mathclass.com/fcat/crunchtime/volume.html