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Section 10.7 – Volume: Prisms and Cylinders

Section 10.7 – Volume: Prisms and Cylinders. pages 557 - 560. The volume of a three-dimensional figure is the number of cubic units needed to fill it. A cubic unit is the space occupied by a cube with edges one unit long. Volume of a Prism.

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Section 10.7 – Volume: Prisms and Cylinders

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  1. Section 10.7 – Volume: Prisms and Cylinders pages 557 - 560

  2. The volume of a three-dimensional figure is the number of cubic units needed to fill it. A cubic unit is the space occupied by a cube with edges one unit long.

  3. Volume of a Prism The volume V of a prism is the product of the base area B and the height h V = Bh

  4. Example 1: Finding Volume of a Prism Find the volume of the triangular prism at the left. The volume is 630 cm3.

  5. Check Understanding: a. Find the volume of the triangular prism.

  6. You can calculate the volume of a cylinder in much the same way that you calculate the volume of a prism. Volume of a Cylinder The volume V of a cylinder is the base area B times the height h V = Bh

  7. Example 2: Finding Volume of a Cylinder Find the volume of the juice can to the nearest cubic centimeter. The volume is about 436 cm3.

  8. Check Understanding b. Find the volume of the cylinder to the nearest cubic foot..            

  9. Homework • pages 559 • #s 1-6 • SHOW ALL WORK! • failure to show work will result in either receiving partial or no credit

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