2. 8 3 l Lateral Area = ½p l ½ (32) (5) = 80 u 2 Surface Area = LA + B 80 + 8 2 = 144 u 2 Volume = B h (1/3) (64) (3) = 64 u 3 Pythagorean Theorem a 2 + b 2 = c 2 3 2 + 4 2 = x 2 X = 5 Find Lateral Area, Surface Area & Volume

3. The Luxor Hotel in Las Vegas, Nevada, is shaped like a gigantic black glass pyramid. The base of the pyramid is a square with edges 606 feet long. The hotel is 350 feet tall. Find the area of the glass on the Luxor. Find the Slant height: L 2 = height 2 + (apothem of base) 2 L 2 = 350 2 + 303 2 l = 462.9 Lateral Area = ½ p l LA = ½ (4  606)  462.9 LA = 561,034.8 ft 2

4. Name the pyramid. Pentagonal pyramid Find the lateral surface area. 32 m 47 m LA = ½(32)(5)(47) LA = 3760 m 2

5. Find Lateral Area, Surface Area & Volume Lateral Area = πr l 8 Diameter = 24 x x 2 = 12 2 + 8 2 x = 14.4 LA = (3.14) (12) (14.4) LA = 542.6 u 2 Surface Area = LA + B SA = πr l + πr 2 SA = 542.6 + 3.14 (12) 2 SA = 994.8 u 2 Volume = B h (1/3) (452.2) (8)= 1205.8 u 3

6. The largest tepee in the United States belongs to Dr. Michael Doss of Washington, DC. Dr. Doss is a member of Montana’s Crow Tribe. The tepee is a cone with a diameter of 42 feet and a slant height of 47.9 feet. How much canvas was used to cover the tepee? LA = π r l LA = ( π ) (21) (47.9) LA = 1005.9 π ft 2