Download presentation

Presentation is loading. Please wait.

Published byGinger Nelson Modified over 4 years ago

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

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

3
Video

4
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 cm 3. Course 1 10-7 Volume of Prisms

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

6
Check It Out: Example 1 Find the volume of the rectangular prism. V = lwh Write the formula. V = 29 12 16l = 29; w = 12; h = 16 Multiply.V = 5,568 in 3 16 in. 29 in. 12 in. Course 1 10-7 Volume of Prisms

7
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. Course 1 10-7 Volume of Prisms

8
Additional Example 2A: Finding the Volume of a Triangular Prism Find the volume of each triangular prism. V = BhWrite the formula. V = ( 3.9 1.3) 4 1 2 __ B = 3.9 1.3; h = 4. 1 2 __ Multiply.V = 10.14 m 3 Course 1 10-7 Volume of Prisms

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

10
Check It Out: Example 2A Find the volume of each triangular prism. V = BhWrite the formula. V = ( 4.2 1.6) 7 1 2 __ B = 4.2 1.6; h = 7. 1 2 __ Multiply.V = 23.52 m 3 1.6 m 7 m 4.2 m Course 1 10-7 Volume of Prisms

11
Check It Out: Example 2B Find the volume of each triangular prism. V = BhWrite the formula. V = ( 4.5 9) 5 1 2 __ B = 4.5 9; h = 5. 1 2 __ Multiply. V = 101.25 ft 3 4.5 ft 5 ft 9 ft Course 1 10-7 Volume of Prisms

12
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 r 2, so the formula is V = Bh = r 2 h. Course 1 10-8 Volume of Cylinders

13
Additional Example 1A: Finding the Volume of a Cylinder Find the volume V of the cylinder to the nearest cubic unit. Write the formula. Replace with 3.14, r with 4, and h with 7. Multiply. V 351.68 V = r 2 h V 3.14 4 2 7 The volume is about 351.68 ft 3. Course 1 10-8 Volume of Cylinders

14
Additional Example 1B: Finding the Volume of a Cylinder 10 cm ÷ 2 = 5 cmFind the radius.Write the formula. Replace with 3.14, r with 5, and h with 11. Multiply. V 863.5 V = r 2 h V 3.14 5 2 11 The volume is about 863.5 cm 3. Course 1 10-8 Volume of Cylinders

15
Additional Example 1C: Finding the Volume of a Cylinder Find the radius. r = + 4 h 3 __ r = + 4 = 7 9 3 __ Substitute 9 for h.Write the formula. Replace with 3.14, r with 7, and h with 9. Multiply. V 1,384.74 V = r 2 h V 3.14 7 2 9 The volume is about 1,384.74 in 3. Course 1 10-8 Volume of Cylinders

16
Check It Out: Example 1A Find the volume V of each cylinder to the nearest cubic unit. Multiply. V 565.2 The volume is about 565.2 ft 3. 6 ft 5 ft Write the formula. Replace with 3.14, r with 6, and h with 5. V = r 2 h V 3.14 6 2 5 Course 1 10-8 Volume of Cylinders

17
Check It Out: Example 1B Multiply. V 301.44 8 cm ÷ 2 = 4 cm The volume is about 301 cm 3. Find the radius. 8 cm 6 cm Write the formula. Replace with 3.14, r with 4, and h with 16. V = r 2 h V 3.14 4 2 6 Course 1 10-8 Volume of Cylinders

18
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. Insert Lesson Title Here 3,600 cm 3 153.3 cm 3 38.13 cm 3 Course 1 10-7 Volume of Prisms

Similar presentations

© 2019 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google