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RealLife Math Phần 5

Tham khảo tài liệu 'reallife math phần 5', ngoại ngữ, anh ngữ phổ thông phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Geometry edges cubed and there are 27 smaller cubes so the volume of the main cube is equal to the volume of one small cube multiplied by 27. The multitude of mathematical facts that can be illustrated and even discovered while playing with a Rubik s Cube is amazing. Initially and when in solved form each of the six faces of the cube is its own color green blue red orange yellow or white. As the layers are rotated the colored faces are shuffled. The goal of the puzzle is to restore each face to a single color after thorough shuffling. Numerous strategies have been developed for solving a Rubik s Cube all of which involve some degree of geometric reasoning. Some strategies can be simulated by computer programs and many contests take place to compare strategies based on the average number of moves required to solve randomized configurations. The top strategies can require less than 20 moves. Possibly the most daunting fact about the 3 X 3 X 3 Rubik s Cube is that 43 252 003 274 489 856 000 different combinations of colors can be created on the faces of the cube. That s more than 43 quintillion combinations or 43 million multiplied by a million and then multiplied by a million again. Keep in mind that the original 3 X 3 X 3 cube is among the smallest and least complicated of Rubik s puzzles SHOOTING AN ARROW The aim of archery is to shoot an arrow and hit a target. The three main components involved in shooting an arrow the bow the arrow and the target are thoroughly analyzed in order to optimize accuracy. The act of shooting an arrow provides an excellent exploration of vectors as may be deduced by the fact that vectors are usually represented by arrows in mathematical figures . The intended path of the arrow the forces that alter this path and the true path taken by the arrow when released can all be represented as vectors. In fact the vector that represents the true path taken by the arrow is the sum of the vectors produced by the forward motion of the arrow and .