Section 12.4 & 12.5  Volume of Prisms & Cylinders olume of Pyramids & Cones  Go over Quizzes.

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Presentation transcript:

Section 12.4 & 12.5  Volume of Prisms & Cylinders olume of Pyramids & Cones  Go over Quizzes

Volume of Prisms and Cylinders What physical process did we relate to surface area? What about volume?

Formula for the Volume of a Prism and Cylinder Prism Cylinder REMEMBER: B – represents the area of one base h – represents the height of the prism or cylinder cross section

Example 1: A triangular prism has a height of 10 cm. The lengths of the base edges are 13 cm, 24 cm, and 13 cm. Find the volume.

Volume of Pyramids & Cones Pyramid Cone D D H H

Example 2: Find the volume. The lateral faces are rectangles. 12 mm 4 mm 6 mm

Example 3: Find the volume of the pyramid with a base that is a rhombus. The diagonals of the rhombus are 7 and 6. 5

Example 4: Find the volume of the frustum.

On your own: Find the volume. 60 o 12 cm (1) (2) A square pyramid has a lateral edge of 13 and a base diagonal of 10. (3) 9 mm 12 mm ANSWERS:

Triangular Prism