0-9: Volume.

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Presentation transcript:

0-9: Volume

0-9: Volume Volume: The space occupied by a solid. Volume is measured in cubic units. The formula for the volume of a rectangular prism is V = l ● w ● h The prism on the right has a volume of 2 ● 2 ● 3 = 12 cubic units

0-9: Volume Find the volume of each rectangular prism The length is 8 cm, the width is 1 cm, and the height is 5 cm V = lwh = (8)(1)(5) = 40 cubic centimeters The prism on the right = (4)(2)(3) = 24 cubic feet

0-9: Volume The volume of a solid is the area of the base multiplied by the height. For a cylinder, the area of the base is πr2. So the volume is V = πr2h The cylinder on the right has a volume of π(3)2(6) ≈ 169.6 cubic inches

0-9: Volume Find the volume of each cylinder The radius is 5 cm, and the height is 6 cm V = πr2h = π(5)2(6) ≈ 471.2 cubic centimeters

0-10: Surface Area

0-10: Surface Area Surface Area: The sum of all the surfaces (faces) of a solid. Surface area is measured in square units.

0-10: Surface Area Find the surface area of each solid. Round to the nearest tenth if necessary The prism has a length of 3 meters, width of 1 meter, and height of 5 meters S = 2lw + 2lh + 2wh = 2(3)(1) + 2(3)(5) + 2(1)(5) = 6 + 30 + 10 = 46 square meters

0-10: Surface Area Find the surface area of each solid. Round to the nearest tenth if necessary The cylinder has a height of 8 cm and radius of 3 cm S = 2πrh + 2πr2 = 2π(3)(8) + 2π(3)2 = 48π + 18π ≈ 207.3 square centimeters

Assignment 0-9: Page P30 1 – 19, odds 0-10: Page P32 1 – 17, odds