CC.8.G.9 Volumes of Prisms, Cylinders, and Cones• Know the formulas for the volume of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
POD 6 Nov To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 15 meters south and 20 meters east. To the nearest meter: 1. How many meters is the path across the pond? 2. How many meters would be saved if it were possible to walk through the pond? NW E A S B a2 + b2 = c2
• Volume of a Prism V Bh h Volume Base Area Height Base Area Remember the “Base Area” formula will be determined by the base shape.
Find the Volume of the Prism• V = Bh 8 in 5 in 15 inV = (15 x 5) x 8V = 600 in3
Cylinders• What are some examples of cylinders?
• Volume of a CylinderBase Area Radius V Bh Volume Base Area Height h 2 B r Base Radius Area
#3 Finding the Volume of a Cylinder• Find the volume of a cylinder with 5 cm height 10 cm and radius 5cm. V Bh 10 cm 2 B r 3 3 V 250 cm or V 785 cm
#4 Finding the Volume of a Cylinder • Find the volume of the cylinder. V Bh 9 ft 2B r 6 ft 3 3V 324 ft or V 1017 . 36 ft