Download presentation

Presentation is loading. Please wait.

Published byKellie Greene Modified over 6 years ago

1
Volume of Prisms & Cylinders Section 11-4

2
Volume The space a figure occupies measured in cubic units (in 3, ft 3, cm 3 )

3
Cavalieri’s Principle If two space figures have the same height & the same cross-sectional area at every level, then they have the same volume.

4
Volume of a Prism You can find the volume of a right prism by multiplying the area of the base by the height. By Cavalieri’s Principle, you can extend this idea to any prism. V = Bh

5
Find the volume of the prism below. The area of the base B = w = 3 5 = 15. V = BhUse the formula for volume. = 15 5Substitute 15 for B and 5 for h. = 75Simplify. The volume of the rectangular prism is 75 in. 3.

6
Find the volume of the prism below. The prism is a right triangular prism with triangular bases. The base of the triangular prism is a right triangle where one leg is the base and the other leg is the altitude. 29 2 – 20 2 = 841 400 = 441 21 Use the Pythagorean Theorem to calculate the length of the other leg.

7
The volume of the triangular prism is 8400 m 3. The area B of the base is bh = (20)(21) = 210. Use the area of the base to find the volume of the prism. 1212 1212 V = BhUse the formula for the volume of a prism. = 210 40Substitute. = 8400Simplify. (continued)

8
Find the volume of the cylinder below. Leave your answer in terms of. The volume of the cylinder is 576 ft 3. V = r 2 hUse the formula for the volume of a cylinder. The formula for the volume of a cylinder is V = r 2 h. The diagram shows h and d, but you must find r. r = d = 8 1212 = 8 2 9Substitute. = 576Simplify.

9
Find the volume of the composite space figure. You can use three rectangular prisms to find the volume. Each prism’s volume can be found using the formula V = Bh.

10
Volume of prism I = Bh = (14 4) 25 = 1400 Volume of prism II = Bh = (6 4) 25 = 600 Volume of prism III = Bh = (6 4) 25 = 600 Sum of the volumes = 1400 + 600 + 600 = 2600 The volume of the composite space figure is 2600 cm 3. (continued)

Similar presentations

© 2021 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