Download presentation

Presentation is loading. Please wait.

Published byBrett Flynn Modified over 8 years ago

1
Find the surface area of each. S = (Pℓ)/2 + B = (20×3)(15)/2 + 20√(10 2 +20 2 )/2 = 623.2 in 2 S = (Pℓ)/2 + B = (10×6)(14)/2 + (8.7)(10×6)/2 = 679.8 ft 2 8.7 S = (Pℓ)/2 + B = 2π(8)(√(15 2 +8 2 )/2 + π(8 2 ) = 200π ft 2 S = (Pℓ)/2 + B = 2π(√(8 2 -6 2 )(8)/2 + π(6.9 2 ) = 70.3π m 2

2
Ch 12.5 Volumes of Pyramids & Cones Standard 9.0 Students compute the volumes of pyramids and cones and commit to memory the formulas for pyramids. Learning Target: I will be able to solve problems involving the volume of pyramids and cones.

3
Concept Theorem 12-11

4
Example 1 Volume of a Pyramid Find the volume of the square pyramid. Answer: The volume of the pyramid is 21 cubic inches. Volume of a pyramid Multiply. 21 s 3, h 7

5
Example 1 Brad is building a model pyramid for a social studies project. The model is a square pyramid with a base edge of 8 feet and a height of 6.5 feet. Find the volume of the pyramid. A.416 ft 3 B. C. D. Volume of a pyramid B = s 2, s = 8, h = 6.5 Multiply. = (64)(6.5) = 138.7 V = Bh 1313 1313

6
Concept Theorem 12-12

7
Example 2A Volume of a Cone A. Find the volume of the oblique cone in terms of π. Simplify B = π r 2 r = 9.1, h = 25 = 690π Volume of a cone V = Bh 1313

8
Example 2B Volume of a Cone B. Find the volume of the cone in terms of π. Simplify. Volume of a cone r = 5, h = 12 = 100π B = π r 2 V = Bh 1313

9
Example 2A A.141π m 3 B.8746π m 3 C.112π m 3 D.2915π m 3 A. Find the volume of the oblique cone in terms of π. Volume of a cone B = π r 2, r = 20.6, h = 20.6 Multiply. = π(424.36)(20.6) = 2915π V = Bh 1313 1313

10
Example 2B A.960π m 3 B.40π m 3 C.320π m 3 D.880π m 3 B. Find the volume of the cone in terms of π. Volume of a cone B = π r 2, r = 8, h = 15 Multiply. = π(64)(15) = 320π V = Bh 1313 1313

11
Example 3 Find Real-World Volumes SCULPTURE At the top of a stone tower is a pyramidion in the shape of a square pyramid. This pyramid has a height of 52.5 centimeters and the base edges are 36 centimeters. What is the volume of the pyramidion? Round to the nearest tenth. Volume of a pyramid B = 36 ● 36, h = 52.5 Simplify. = s 2 h 1313 B = s 2

12
Example 3 A.18,775 cm 3 B.19,500 cm 3 C.20,050 cm 3 D.21,000 cm 3 SCULPTURE In a botanical garden is a silver pyramidion in the shape of a square pyramid. This pyramid has a height of 65 centimeters and the base edges are 30 centimeters. What is the volume of the pyramidion? Round to the nearest tenth. Volume of a pyramid B = s 2, s = 30, h = 65 Multiply. = π(900)(65) = 19500 V = Bh 1313 1313

13
Concept

Similar presentations

© 2024 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