1 / 19

Volume of Prisms and Cylinders

Volume of Prisms and Cylinders. #38. VOCABULARY. Volume is the number of cubic units needed to fill a space. Introduction. You need 10, or 5 · 2, centimeter cubes to cover the bottom layer of this rectangular prism.

reece-lucas
Download Presentation

Volume of Prisms and Cylinders

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Volume of Prisms and Cylinders #38

  2. VOCABULARY Volume is the number of cubic units needed to fill a space.

  3. Introduction You need 10, or 5 · 2, centimeter cubes to cover the bottom layer of this rectangular prism. You need 3 layers of 10 cubes each to fill the prism. It takes 30, or 5 · 2 · 3, cubes. Volume is expressed in cubic units, so the volume of the prism is 5 cm · 2 cm · 3 cm = 30 cm3.

  4. Example 1: Finding the Volume of a Rectangular Prism Find the volume of the rectangular prism.

  5. Example 2 Find the volume of each rectangular prism. 3

  6. Example 3 Find the volume of each rectangular prism. V = lwh = 1 × 1 × 2 = 2 km 3

  7. V = Bh Write the formula. 1 1 __ __ V = ( •3.9•1.3) •4 B = •3.9•1.3; h = 4. 2 2 Example 4: Finding the Volume of a Triangular Prism Find the volume of thetriangular prism. V = 10.14 m3 Multiply.

  8. Example 4

  9. Example 5 1 m 2

  10. Example 6

  11. Example 7 A toy box is a rectangular prism that is 3 ft long, 2 feet wide, and 2 feet tall. Another toy box has the same dimensions, except that it is longer. If the longer toy box has a volume that is 50% greater than the original toy box, what is the length of the longer toy box?

  12. FYI To find the volume of a cylinder, you can use the same method as you did for prisms: Multiply the area of the base by the height. volume of a cylinder = area of base  height The area of the circular base is r2, so the formula is V = Bh = r2h.

  13. Example 8: Finding the Volume of a Cylinder Find the volume V of the cylinder to the nearest cubic unit. r = 4 ft, h = 7 ft

  14. h __ + 4 3 Example 9: Finding the Volume of a Cylinder r = in., h = 9 in.

  15. Example 10 Find the volume V of each cylinder to the nearest cubic unit. r = 6 ft, h = 5 ft

  16. Example 11 h r = + 5, h = 8 in. 4

  17. Example 12 Sara has a cylinder-shaped sunglasses case with a 3 in. diameter and a height of 6 in. Ulysses has a cylinder-shaped pencil holder with a 4 in. diameter and a height of 7 in. Estimate the volume of each cylinder to the nearest cubic inch. Sara’s sunglasses case

  18. Example 13 Ulysses’ pencil holder

  19. Example 14: Comparing Volumes of CylindersFind which cylinder has the greater volume. Cylinder 1: Cylinder 2:

More Related