12-3: Volumes of Prisms and Cylinders

12-3: Volumes of Prisms and Cylinders•VOLUME: the measurement of space

within a solid figure•Volume is measured in cubic units•The volume of a prism is

▫V = Bh, where h = height B = area of the base

h

12-3: Volumes of Prisms and Cylinders•Find the volume of the figure below

▫V = Bh What is Abase? What is h? Plug into the formula for surface area:

3 cm8 cm

5 cm

(8)(3) = 24 cm5 cm

V = (24)(5) = 120 cm3

12-3: Volumes of Prisms and Cylinders•Find the volume of the figure below

▫V = Bh What is Abase? What is h? Plug into the formula for volume:

4 in3 inc in

13 in

13 in½ (4)(3) = 6 in

V = (6)(13) = 78 in3

12-3: Volumes of Prisms and Cylinders•The volume of a cylinder is

▫V = πr2h, where: r = radius h = height

h

r

12-3: Volumes of Prisms and Cylinders•Find the volume of the cylinder below

▫V = πr2h What is r? What is h? Plug into the formula for surface area:

11 ft

8 ft8 / 2 = 4 ft11 ft

V = π(4)2(11) = 552.92 ft3

12-3: Volumes of Prisms and Cylinders•Assignment

▫Worksheet #12-3