EXAMPLE 1 Finding Volumes of Prisms Find the volume of the prism. Base is a rectangle with area lw....
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Transcript of EXAMPLE 1 Finding Volumes of Prisms Find the volume of the prism. Base is a rectangle with area lw....
![Page 1: EXAMPLE 1 Finding Volumes of Prisms Find the volume of the prism. Base is a rectangle with area lw. V = Bh = lwh = 12(8)(2) = 192 ANSWER The volume is.](https://reader035.fdocuments.us/reader035/viewer/2022080917/56649eec5503460f94bfdebb/html5/thumbnails/1.jpg)
EXAMPLE 1 Finding Volumes of Prisms
Find the volume of the prism.
Base is a rectangle with area lw.V = Bh
= lwh= 12(8)(2)= 192
ANSWER The volume is192 cubic inches.
a.
![Page 2: EXAMPLE 1 Finding Volumes of Prisms Find the volume of the prism. Base is a rectangle with area lw. V = Bh = lwh = 12(8)(2) = 192 ANSWER The volume is.](https://reader035.fdocuments.us/reader035/viewer/2022080917/56649eec5503460f94bfdebb/html5/thumbnails/2.jpg)
EXAMPLE 1 Finding Volumes of Prisms
V = Bh
= 60
ANSWER The volume is 60 cubic meters.
Base is a triangle with area bh.12
(4)(3)(10)12=
b.
![Page 3: EXAMPLE 1 Finding Volumes of Prisms Find the volume of the prism. Base is a rectangle with area lw. V = Bh = lwh = 12(8)(2) = 192 ANSWER The volume is.](https://reader035.fdocuments.us/reader035/viewer/2022080917/56649eec5503460f94bfdebb/html5/thumbnails/3.jpg)
EXAMPLE 2 Finding the Volume of a Cylinder
SOLUTION
The radius is one half the diameter, so r = 3 cm.V = Bh Write formula for volume.
= πr2h Write formula for volume of a cylinder.
= π(3)2(9) Substitute 3 for r and 9 for h.
= 81π Simplify.
Find the volume of the cylinder.
254.469≈ Evaluate using a calculator.
![Page 4: EXAMPLE 1 Finding Volumes of Prisms Find the volume of the prism. Base is a rectangle with area lw. V = Bh = lwh = 12(8)(2) = 192 ANSWER The volume is.](https://reader035.fdocuments.us/reader035/viewer/2022080917/56649eec5503460f94bfdebb/html5/thumbnails/4.jpg)
EXAMPLE 2 Finding the Volume of a Cylinder
ANSWER
The volume is about 254 cubic centimeters.
![Page 5: EXAMPLE 1 Finding Volumes of Prisms Find the volume of the prism. Base is a rectangle with area lw. V = Bh = lwh = 12(8)(2) = 192 ANSWER The volume is.](https://reader035.fdocuments.us/reader035/viewer/2022080917/56649eec5503460f94bfdebb/html5/thumbnails/5.jpg)
GUIDED PRACTICE for Examples 1 and 2
Find the volume of the solid. Round to the nearest tenth if necessary.
ANSWER The volume is 198 cubic feet.
![Page 6: EXAMPLE 1 Finding Volumes of Prisms Find the volume of the prism. Base is a rectangle with area lw. V = Bh = lwh = 12(8)(2) = 192 ANSWER The volume is.](https://reader035.fdocuments.us/reader035/viewer/2022080917/56649eec5503460f94bfdebb/html5/thumbnails/6.jpg)
GUIDED PRACTICE for Examples 1 and 2
ANSWER The volume is 288 cubic millimeters.
2.
![Page 7: EXAMPLE 1 Finding Volumes of Prisms Find the volume of the prism. Base is a rectangle with area lw. V = Bh = lwh = 12(8)(2) = 192 ANSWER The volume is.](https://reader035.fdocuments.us/reader035/viewer/2022080917/56649eec5503460f94bfdebb/html5/thumbnails/7.jpg)
GUIDED PRACTICE for Examples 1 and 2
ANSWER The volume is about 70.7 cubic inches
3.