. Grains of sand are very small - about 2600 grains fit in one cubic centimeter...
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. Grains of sand are very small - about 2600 grains fit in one cubic centimeter (cm³). Given that there are one million cubic centimeters (cm³) in one cubic meter (m³), how many grains are there in 1 m³ of sand? b. If you counted one grain of sand each second, how many seconds would it take you to count all the grains in one cubic meter? c. Using (b), calculate how many years would it take to count all the grains of sand in one cubic meter? d. There are roughly 200,000 km of beaches in the world. How many meters is this? e. We now want to calculate the total volume of sand on all the world's beaches. Use the length of beach from part (d), say that the average width of a beach is 20 meters, and that the average depth of sand is 2 meters. What is the total volume of sand, in m³, of all the world's beaches? f. Using parts (a) and (e), estimate how many grains of sand there are on all the beaches of the world. g. Ok, now stars. There are approximately 100 billion (10¹¹) stars in a typical galaxy, and there are about 100 billion galaxies in the universe. How many stars are there in the universe? h. To compare how many times more stars there are than grains of sand, divide the number of stars by the number of grains of sand. How many more stars are there? . Grains of sand are very small - about 2600 grains fit in one cubic centimeter (cm³). Given that there are one million cubic centimeters (cm³) in one cubic meter (m³), how many grains are there in 1 m³ of sand? b. If you counted one grain of sand each second, how many seconds would it take you to count all the grains in one cubic meter? c. Using (b), calculate how many years would it take to count all the grains of sand in one cubic meter? d. There are roughly 200,000 km of beaches in the world. How many meters is this? e. We now want to calculate the total volume of sand on all the world's beaches. Use the length of beach from part (d), say that the average width of a beach is 20 meters, and that the average depth of sand is 2 meters. What is the total volume of sand, in m³, of all the world's beaches? f. Using parts (a) and (e), estimate how many grains of sand there are on all the beaches of the world. g. Ok, now stars. There are approximately 100 billion (10¹¹) stars in a typical galaxy, and there are about 100 billion galaxies in the universe. How many stars are there in the universe? h. To compare how many times more stars there are than grains of sand, divide the number of stars by the number of grains of sand. How many more stars are there?
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Related Book For
A Survey of Mathematics with Applications
ISBN: 978-0134112107
10th edition
Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde
Posted Date:
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