Estimation problems: State your assumptions clearly. The answer is not as import
ID: 1528097 • Letter: E
Question
Estimation problems: State your assumptions clearly. The answer is not as important as the method and the reasoning. Try to use the powers of 10 notation.1- MacDonald used to brag that over 70 billion hamburgers were sold. If you went up to the counter and said, "70 billion hamburgers (without fries) to go", how big a cubic box (a box in which the length, width and height are the same) would be needed to accommodate all the hamburgers?
2- Currently the US national debt is above the 19 trillion dollar mark. If you were to pile up 19 trillion dollars in hundred dollar bills one on top of the other, how high would the pile be?
3- In miles, how many miles long is a light-year (the distance light travels in a year). Light travels at approximately 186,000 miles per second (approximately 7½ times around the Earth in 1 second). First find out how many seconds are in one year. Try using power of ten notation and estimate to make the math easier.
4- Currently the population of the earth is approximately 7.5 billion people. See http://www.worldometers.info/world-population/What do you estimate as the absolute maximum number of people than could be accommodated on the planet?
Estimation problems: State your assumptions clearly. The answer is not as important as the method and the reasoning. Try to use the powers of 10 notation.
1- MacDonald used to brag that over 70 billion hamburgers were sold. If you went up to the counter and said, "70 billion hamburgers (without fries) to go", how big a cubic box (a box in which the length, width and height are the same) would be needed to accommodate all the hamburgers?
2- Currently the US national debt is above the 19 trillion dollar mark. If you were to pile up 19 trillion dollars in hundred dollar bills one on top of the other, how high would the pile be?
3- In miles, how many miles long is a light-year (the distance light travels in a year). Light travels at approximately 186,000 miles per second (approximately 7½ times around the Earth in 1 second). First find out how many seconds are in one year. Try using power of ten notation and estimate to make the math easier.
4- Currently the population of the earth is approximately 7.5 billion people. See http://www.worldometers.info/world-population/What do you estimate as the absolute maximum number of people than could be accommodated on the planet?
Explanation / Answer
1) Let the volume of hamburgers = 1*10^-3 m^2
Volume of 70 billion hamburger = 70*10^9 *10^-3
volume of the cube should be = 7*10^7 V
dimension of box would be (a^3) = 8.366*10^3*8.366*10^3*8.366*10^3
2.)let the thickness of 100 dollar notes is 1mm
so total thickness of 19 trillion dollar = (19*10^12)*1*10^-3/100 = 19*10^7 m
3.)no of seconds in one year = no of days in one year * no of hour in 1 day* no of min in 1 hour*no of sec in min
no of seconds in one year = 365*24*60*60 = 31536000 sec
one light yer become = 31536000*186000 = 5.86*10^12 mile
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