1. Mrs. McConaughyGeometry1 Volumes of Prisms and Cylinders OBJECTIVE: To determine the volumes of prisms and cylinders

2. Mrs. McConaughyGeometry2 Definition: Volume VOLUME______________________________ ___________________________________ Volume is_______________________. is the measure of the amount of space contained in a solid. measured in cubic units

3. Mrs. McConaughyGeometry3 Volume of Prism

4. Mrs. McConaughyGeometry4 Volume of a Prism/Cylinder PRISM-CYLINDER VOLUME THEOREM If B is the area of the base of a prism or cylinder, and H is the height, then the formula for volume is V = ________________. BH V (prism/cylinder) = area of the base x height of the solid

5. Mrs. McConaughyGeometry5 Example: Volume of a Cylinder Find the volume of a can that has a diameter of 5 inches and a height of 3 inches. Use 3.14 for. Round your answer to the nearest inch.

6. Mrs. McConaughyGeometry6 Example: Volume of a Cylinder V = BH V = _______ Volume is always measured in cubic units.

7. Mrs. McConaughyGeometry7 Example: Volume of a Prism Find the volume of a trapezoidal prism that has a height of 15 cm. The trapezoidal base has a height of 5 cm and the two bases of the trapezoid measure 4 and 8 cm.

8. Mrs. McConaughyGeometry8 V = BH V = _______ Example: Volume of a Prism Volume is always measured in cubic units.

9. Mrs. McConaughyGeometry9 Final Checks for Understanding 1.Surface area is always measured in ______. 2.Prisms and cylinders have ____ bases. 3.Use the diagram to complete the table: bhHV 1735 4.86.1161.04

10. Mrs. McConaughyGeometry10 HOMEWORK ASSIGNMENT : Volumes of Prisms and Cylinders WS