Question

A 1-dollar bill is 6.14 inches long, 2.61 inches wide, and 0.0043 inch thick.

Assume your classroom measures 25 by 23 by 15 ft. How many such rooms would a billion 1-dollar bills fill? (Round your answer to one decimal place.)

Answer 1

find volume of each bill and each room

v=lwh
vbill=6.14*2.61*0.0043=0.06890922 in^3

must convert room dimientions to inches
25*12=300in
23*12=276in
15*12=180in
Vroom=300*276*180=14904000in^3

now 1 billion bills

move decimal place over 9 places to right
1 million bills takes about 68909220 in^2

how many rooms to fit them all?
vbillionbills/v1room=number of rooms needed=
68909220/14904000=4.623
round to 1 deicmal
4.6 rooms needed (actually, it would be 5 since you can't use the 0.4 room left over very efficiently)



answer is 4.6 rooms