Question

How many 1-fm squares does it take to construct a square that is 1 m on each side?

Answer 1

To construct a square with 1 meter on each side, we need to fill a 1 meter by 1 meter area with 1-fm squares. To find how many 1-fm squares this will take, we just use a simple dimensional analysis:

$\frac{1 m^{2} }{1} * \frac{10^{15}fm }{1m} *\frac{10^{15}fm }{1m}= 10^{30} fm^{2}$

ANSWER: Therefore, we will need $10^{30}$ squares each measuring 1 femtometer to construct a square with side 1 meter.