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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.

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10-7

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  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.

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