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Unformatted text preview: (B) (C) (D) (E) 120° 50° 70° 40° 60° www.petersons.com 218 Chapter 13 9. VOLUMES
A. The volume of a rectangular solid is equal to the product of its length, width, and height. V = (10)(6)(5) = 300 B. The volume of a cube is equal to the cube of an edge, since the length, width, and height are all equal. V = (3)3 = 27 C. The volume of a cylinder is equal to π times the square of the radius of the base times the height. V = π (4)2 (5) = 80π www.petersons.com Geometry 219 Exercise 9
Work out each problem. Circle the letter that appears before your answer. 1. The surface area of a cube is 96 square feet. How many cubic feet are there in the volume of the cube? (A) 16 (B) 4 (C) 12 (D) 64 (E) 32 A cylindrical pail has a radius of 7 inches and a height of 10 inches. Approximately how many gallons will the pail hold if there are 231 cubic 22 inches to a gallon? (Use π = ) (A) (B) (C) (D) (E) 3. .9 4.2 6.7 5.1 4.8
7 4. 2. A rectangular tank 10 inches by 8 inches by 4 inches is filled with water. If the water is to be transferred to smaller tanks in the form of cubes 4 inches on a side, how many of these tanks are needed? (A) 4 (B) 5 (C) 6 (D) 7 (E) 8 The base of a rectangular tank is 6 feet by 5 feet and its height is 16 inches. Find the number of cubic feet of water in the tank when it is 5 full.
8 5. Water is poured into a cylindrical tank at the rate of 9 cubic inches a minute. How many minutes will it take to fill the tank if its radius is 3 inches and its height is 14 inches? 22 (Use π = )
7 (A) (B) (C) (D) (E) 25 40 480 768 300 (A) (B) (C) (D) (E) 2 14 3 44 30 27 35
2 9 www.petersons.com 220 Chapter 13 10. SIMILAR POLYGONS
A. Corresponding angles of similar polygons are congruent. B. Corresponding sides of similar polygons are in proportion. If triangle ABC is similar to triangle DEF and the sides and angles are given as marked, then EF must be equal to 12 as the ratio of corresponding sides is 2 : 6 or 1 : 3. C. When figures are similar, all ratios between corresponding lines are equal. This i...
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