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....
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.
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.
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.
EXAMPLE 2 Finding the Volume of a Cylinder
ANSWER
The volume is about 254 cubic centimeters.
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.
GUIDED PRACTICE for Examples 1 and 2
ANSWER The volume is 288 cubic millimeters.
2.
GUIDED PRACTICE for Examples 1 and 2
ANSWER The volume is about 70.7 cubic inches
3.