NAME__________       DATE_______


PERIOD______      Estimating Out of Range Measurements


 There are certain measurements that are out of our range, that we canít easily

measure. But we CAN estimate the values by making several assumptions.


 Example: How many leaves are on a tree? First, assume that the tree is a cube,

perhaps 10 meters on a side. That means the tree has a volume of 10m X 10mX 10m=1000 meters


 Now suppose that there are leaves evenly distributed all over the tree and that ten

leaves end to end are about 1 meter. That means that each cubic meter has 10 leaves X 10 leaves X

10 leaves=1000 leaves per cubic meter. 

 So now the number of leaves on the tree is:

 1000 leaves X 1000 m3 = 1 X 106 leaves



ESTIMATE answers for the following problems. You need to show and check all your



1) Numbers of hairs on your head: (Hint: estimate the number of hairs per square centimeter and

the area of your head)




2) Times your heart beats in a lifetime.




3) Time you spend in school total in life:





**4) Weight of the whole earthís atmosphere: (Earth has 6371 km radius, 4 mile high air)




**5) Number of atoms in the earth (made mostly of carbon, 6371 km radius)




6) Thickness of a human hair




7) Grains of sand on a typical beach




8) Number of blades of grass on a soccer/field hockey field


9) Volume of ice cream eaten by the total population of town in a year.





10) Amount of liquid our school can hold:





11) Speed of a butterfly





12) Distance traveled per evening in a rocking chair.





TIME: Using convenient units such as minutes, hours, days, or years, estimate the lifetime

of each of the objects below. rank them in order from smallest to largest. Then find the

approximate value in SECONDS for each one.


human      baseball game




dog      lightning flash



sea turtle      firefly flash



sun      a roadís yellow line


flea      a pencil