Presentation on theme: "Finding Volumes of Prisms"— Presentation transcript:
1 Finding Volumes of Prisms EXAMPLE 1Find the volume of the prism.a.Base is a rectangle with area lw.V = Bh= lwh= 12(8)(2)= 192ANSWERThe volume is192 cubic inches.
2 Finding Volumes of Prisms EXAMPLE 1b.1Base is a triangle with area bh.2V = Bh(4)(3)(10)12== 60ANSWERThe volume is 60 cubic meters.
3 Finding the Volume of a Cylinder EXAMPLE 2 Find the volume of the cylinder.SOLUTIONThe radius is one half the diameter, so r = 3 cm.V = BhWrite formula for volume.= πr2hWrite formula for volume of a cylinder.= π(3)2(9)Substitute 3 for r and 9 for h.= 81πSimplify.≈Evaluate using a calculator.
4 Finding the Volume of a Cylinder EXAMPLE 2ANSWERThe volume is about 254 cubic centimeters.
5 GUIDED PRACTICEfor Examples 1 and 2Find the volume of the solid. Round to the nearest tenth if necessary.ANSWERThe volume is 198 cubic feet.
6 GUIDED PRACTICEfor Examples 1 and 22.ANSWERThe volume is 288 cubic millimeters.
7 GUIDED PRACTICEfor Examples 1 and 23.ANSWERThe volume is about 70.7 cubic inches