1. 12-3: Volumes of Prisms and Cylinders

2. V OLUME : 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

3. 12-3: Volumes of Prisms and Cylinders Find the volume of the figure below ▫V = Bh  What is A base ?  What is h?  Plug into the formula for surface area:  3 cm 8 cm 5 cm (8)(3) = 24 cm 5 cm V = (24)(5) = 120 cm 3

4. 12-3: Volumes of Prisms and Cylinders Find the volume of the figure below ▫V = Bh  What is A base ?  What is h?  Plug into the formula for volume:  4 in 3 in c in 13 in 13 in ½ (4)(3) = 6 in V = (6)(13) = 78 in 3

5. 12-3: Volumes of Prisms and Cylinders The volume of a cylinder is ▫V = π r 2 h, where:  r = radius  h = height h r

6. 12-3: Volumes of Prisms and Cylinders Find the volume of the cylinder below ▫V = π r 2 h  What is r?  What is h?  Plug into the formula for surface area:  11 ft 8 ft 8 / 2 = 4 ft 11 ft V = π (4) 2 (11) = 552.92 ft 3

7. 12-3: Volumes of Prisms and Cylinders Assignment ▫Worksheet #12-3