Download presentation

Presentation is loading. Please wait.

Published byHannah McWilliams Modified over 4 years ago

1
Splash Screen

2
Lesson Menu Five-Minute Check (over Lesson 12–4) Then/Now New Vocabulary Key Concept: Lateral and Surface Area of Prisms Example 1:Surface Area of Prisms Example 2:Real-World Example: Surface Area of Prisms

3
Over Lesson 12–4 5-Minute Check 1 A.324 in 3 B.224 in 3 C.162 in 3 D.108 in 3 Find the volume of the figure.

4
Over Lesson 12–4 5-Minute Check 2 A.1003.6 cm 3 B.923.6 cm 3 C.378.7 cm 3 D.126 cm 3 Find the volume of the figure.

5
Over Lesson 12–4 5-Minute Check 3 A.22.4 in 3 B.20.6 in 3 C.9.42 in 3 D.7.23 in 3 Find the volume of a sphere with a radius of 1.75 inches.

6
Over Lesson 12–4 5-Minute Check 4 A.1080 mm 3 B.960 mm 3 C.360 mm 3 D.280 mm 3 Find the volume of a hexagonal pyramid with a base area of 120 mm 2 and height of 9 mm.

7
Over Lesson 12–4 5-Minute Check 5 A.8.5 in 3 B. 7.5 in 3 C.6.5 in 3 D.5.5 in 3 What is the volume of a cone with a radius of 1.2 inches and a height of 5 inches?

8
Over Lesson 12–4 5-Minute Check 6 A.48 centimeters B.24 centimeters C.36 centimeters D.12 centimeters A sphere and a cone have the same volume. Both have a radius of 12 centimeters. What is the approximate height of the cone?

9
Then/Now You have already found the area of two-dimensional figures. (Lesson 11–6) Find lateral area and surface area of prisms. Find surface area of real-world objects shaped like prisms.

10
Vocabulary lateral face lateral area surface area

11
Concept

12
Example 1 A Surface Area of Prisms A. Find the lateral and surface areas of the prism. Find the lateral area. L =Ph =(2 + 2w)(h) =(2 34 + 2 21)(4) =440 cm 2 Answer: The lateral area is 440 square centimeters. The surface area is 1868 square centimeters. Find the surface area. S =L + 2B =L + 2w =440 + 2(34)(21) =1868 cm 2

13
Example 1 B Surface Area of Prisms B. Find the lateral and surface areas of the prism. L =PhWrite the formula. =(12 + 16 + 20)(3)P is perimeter of the triangular base. h is the height of the prism. =48 3 or 144 m 2 Simplify. The lateral area is made up of faces that are not parallel.

14
Example 1 B Surface Area of Prisms Find the surface area. Answer: The lateral area of the triangular prism is 144 square meters. The surface area of the triangular prism is 336 square meters. S =L + 2BWrite the formula. =144 + 192 or 336 m 2 Simplify. Substitution

15
Example 1 CYPA A. Find the lateral area and the surface area of the rectangular prism. A.lateral area, 152 in 2 ; surface area, 292 in 2 B.lateral area, 182 in 2 ; surface area, 322 in 2 C.lateral area, 304 in 2 ; surface area, 444 in 2 D.lateral area, 364 in 2 ; surface area, 560 in 2

16
Example 1 CYPB B. Find the lateral area and the surface area of the triangular prism. A.lateral area, 19 ft 2 ; surface area, 31 ft 2 B.lateral area, 61 ft 2 ; surface area, 96 ft 2 C.lateral area, 84 ft 2 ; surface area, 96 ft 2 D.lateral area, 96 ft 2 ; surface area, 108 ft 2

17
Example 2 Surface Area of Prisms CARPENTRY Alex is building a large storage box out of plywood. The box is a rectangular prism measuring 5 feet long, 3 feet wide, and 2 feet high. Find the number of sheets of plywood he would need to buy to build the box if 1 sheet covers 32 square feet. Find the lateral area. L = Ph = (2 + 2w)h = (2 5 + 2 3)2 = 32 ft 2 Find the surface area. S = L + 2B = L + 2w = 32 + 2 3 5 = 32 + 30 or 62 ft 2

18
Example 2 Surface Area of Prisms One sheet of plywood covers 32 ft 2 and two sheets cover 2 32 or 64 ft 2. 32 < 62 < 64 Answer: Alex will need at least 2 sheets of plywood.

19
Example 2 CYP A.1 quart B.2 quarts C.3 quarts D.4 quarts Jan is painting all the sides of a rectangular cabinet. The cabinet measures 3 feet long, 4 feet wide, and 5 feet tall. How much paint will she need if one quart of paint covers 50 square feet?

20
End of the Lesson

Similar presentations

Presentation is loading. Please wait....

OK

9.4 – Perimeter, Area, and Circumference

9.4 – Perimeter, Area, and Circumference

© 2018 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