TAILIEUCHUNG - SAT math essentials part 8

Tham khảo tài liệu 'sat math essentials part 8', ngoại ngữ, ngữ pháp tiếng anh phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | ------------------------------------- GEOMETRY REVIEW ------------------------------------------ Practice Question A rectangle has a perimeter of 42 and two sides of length 10. What is the length of the other two sides a. 10 b. 11 c. 22 d. 32 e. 52 Answer b. You know that the rectangle has two sides of length 10. You also know that the other two sides of the rectangle are equal because rectangles have two sets of equal sides. Draw a picture to help you better understand x 10 10 x Based on the figure you know that the perimeter is 10 10 x x. So set up an equation and solve for x 10 10 x x 42 20 2x 42 20 2x - 20 42 - 20 2x 22 2x _ 22 2 _ 2 x 11 Therefore we know that the length of the other two sides of the rectangle is 11. Practice Question The height of a triangular fence is 3 meters less than its base. The base of the fence is 7 meters. What is the area of the fence in square meters a. 4 b. 10 c. 14 d. 21 e. 28 Answer c. Draw a picture to help you better understand the problem. The triangle has a base of 7 meters. The height is three meters less than the base 7 3 4 so the height is 4 meters 4 7 135 -------------------------------------- GEOMETRY REVIEW ---------------------------------------------- The formula for the area of a triangle is 1 base height A 2bh A ị 7 4 A 1 28 A 14 The area of the triangular wall is 14 square meters. Practice Question A circular cylinder has a radius of 3 and a height of 5. Ms. Stewart wants to build a rectangular solid with a volume as close as possible to the cylinder. Which of the following rectangular solids has dimension closest to that of the circular cylinder a. 3 X 3 X 5 b. 3 X 5 X 5 c. 2 X 5 X 9 d. 3 X 5 X 9 e. 5 X 5 X 9 Answer d. First determine the approximate volume of the cylinder. The formula for the volume of a cylinder is V nr2h. Because the question requires only an approximation use n 3 to simplify your calculation. V nr h V 3 32 5 V 3 9 5 V 27 5 V 135 Now determine the answer choice with dimensions that produce a .

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