1 / 18

10-7

Volume of Prisms. 10-7. Course 1. Warm Up. Problem of the Day. Lesson Presentation. Volume of Prisms. 10-7. Course 1. Volume is the number of cubic units needed to fill a space. Video. Volume of Prisms. 10-7. Course 1.

walter-thornton
Télécharger la présentation

10-7

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 10-7 Course 1 Warm Up Problem of the Day Lesson Presentation

  2. Volume of Prisms 10-7 Course 1 Volume is the number of cubic units needed to fill a space.

  3. Video

  4. Volume of Prisms 10-7 Course 1 It takes 10, or 5 · 2, centimeter cubes to cover the bottom layer of this rectangular prism. There are 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.

  5. Volume of Prisms 10-7 Course 1 Additional Example 1: Finding the Volume of a Rectangular Prism Find the volume of the rectangular prism. 13 in. 11 in. 26 in. V = lwh Write the formula. V = 26•11•13 l = 26; w = 11; h = 13 V = 3,718 in3 Multiply.

  6. Volume of Prisms 10-7 Course 1 Check It Out: Example 1 Find the volume of the rectangular prism. 16 in. 12 in. 29 in. V = lwh Write the formula. V = 29•12•16 l = 29; w = 12; h = 16 V = 5,568 in3 Multiply.

  7. Volume of Prisms 10-7 Course 1 To find the volume of any prism, you can use the formula V= Bh, where B is the area of the base, and h is the prism’s height. So, to find the volume of a triangular prism, B is the area of the triangular base and h is the height of the prism.

  8. Volume of Prisms 10-7 1 1 __ __ 2 2 V = Bh Write the formula. V = ( •3.9•1.3) •4 B = •3.9•1.3; h = 4. Course 1 Additional Example 2A: Finding the Volume of a Triangular Prism Find the volume of each triangular prism. V = 10.14 m3 Multiply.

  9. Volume of Prisms 10-7 1 1 __ __ 2 2 3 Write the formula. B = •6.5•7; h = 6. V = Bh Multiply. V = 136.5 ft V = ( •6.5•7) •6 Course 1 Additional Example 2B: Finding the Volume of a Triangular Prism Find the volume of the triangular prism.

  10. Volume of Prisms 10-7 1 1 __ __ 2 2 V = 23.52 m3 Multiply. V = Bh V = ( •4.2•1.6) •7 B = •4.2•1.6; h = 7. Write the formula. Course 1 Check It Out: Example 2A Find the volume of each triangular prism. 7 m 1.6 m 4.2 m

  11. Volume of Prisms 10-7 1 1 __ __ 2 2 V = 101.25 ft3 Multiply. V = Bh V = ( •4.5•9) •5 B = •4.5•9; h = 5. Write the formula. Course 1 Check It Out: Example 2B Find the volume of each triangular prism. 9 ft 5 ft 4.5 ft

  12. Volume of Cylinders 10-8 Course 1 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. Volume of Cylinders 10-8 Write the formula. Replace with 3.14, r with 4, and h with 7. Multiply. V 351.68 V3.14427 The volume is about 351.68 ft3. Course 1 Additional Example 1A: Finding the Volume of a Cylinder Find the volume V of the cylinder to the nearest cubic unit. V = r2h

  14. Volume of Cylinders 10-8 10 cm ÷ 2 = 5 cm Find the radius. Write the formula. Replace with 3.14, r with 5, and h with 11. Multiply. V 863.5 V3.145211 The volume is about 863.5 cm3. Course 1 Additional Example 1B: Finding the Volume of a Cylinder V = r2h

  15. Volume of Cylinders 10-8 h 9 __ __ 3 3 Replace with 3.14, r with 7, and h with 9. Find the radius. r = + 4 r = + 4 = 7 Write the formula. V 1,384.74 Multiply. V3.14729 The volume is about 1,384.74 in3. Substitute 9 for h. Course 1 Additional Example 1C: Finding the Volume of a Cylinder V = r2h

  16. Volume of Cylinders 10-8 Multiply. V 565.2 The volume is about 565.2 ft3. Write the formula. Replace with 3.14, r with 6, and h with 5. V3.14625 Course 1 Check It Out: Example 1A Find the volume V of each cylinder to the nearest cubic unit. 6 ft 5 ft V = r2h

  17. Volume of Cylinders 10-8 Multiply. V 301.44 8 cm ÷ 2 = 4 cm The volume is about 301 cm3. Find the radius. Write the formula. Replace with 3.14, r with 4, and h with 16. V3.14426 Course 1 Check It Out: Example 1B 8 cm 6 cm V = r2h

  18. Volume of Prisms 10-7 3,600 cm3 153.3 cm3 38.13 cm3 Course 1 Insert Lesson Title Here Lesson Quiz Find the volume of each figure. 1. rectangular prism with length 20 cm, width 15 cm, and height 12 cm 2. triangular prism with a height of 12 cm and a triangular base with base length 7.3 cm and height 3.5 cm 3. Find the volume of the figure shown.

More Related