10-5 and 10-6 Volumes of Prisms, Cylinders, Pyramids, and Cones Objective – Find the volumes of prisms, cylinders, pyramids, and cones.

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Presentation transcript:

10-5 and 10-6 Volumes of Prisms, Cylinders, Pyramids, and Cones Objective – Find the volumes of prisms, cylinders, pyramids, and cones.

CA Geometry Standard 9.0  Students compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres; and students commit to memory the formulas for prisms, pyramids, and cylinders.

Theorem 10-6 Volume of a Prism Volume HeightBase Area h Remember the “Base Area” formula will be determined by the base shape.

Find the volume of the regular hexagonal prism. 12 m 6 m #1 Finding the Volume of a Prism P = 36

#2 Finding the Surface Area of a Prism Find the volume of the triangular prism. 12 cm 5 cm 3 cm4 cm 5 cm 3 cm h

Radius Theorem 10-7 Volume of a Cylinder Volume Height Base Area Radius Base Area h

#3 Finding the Volume of a Cylinder 10 cm 5 cm Find the volume of a cylinder with height 10 cm and radius 5cm.

#4 Finding the Volume of a Cylinder 9 ft 6 ft Find the volume of the cylinder.

Theorem 10-8 Volume of a Pyramid Volume Height Base Area B

#5 Finding Volume of a Pyramid Find the volume of a square pyramid with base edges 5 m and height 3 m.

Theorem 10-9 Volume of a Cone Volume Height Base Area

#6 Finding the Volume of a Cone The radius of the base of a cone is 6 m. Its height is 13 m. Find the volume.