Respuesta :
Answer:
39,878 cubic feet
Step-by-step explanation:
The volume of one 1-dollar bill is
V = 6.14(2.61)(0.0043), so the volume of 1 billion 1-dollar bills is
V = 6.14(2.61)(0.0043)(1,000,000,000) = 68,909,220 cubic inches.
We now need to see how many cubic inches are in a foot, since the question is asking for cubic feet.
There are 12 inches in a foot, so there are 12*12*12 = 1,728 cubic inches in a foot.
Divide 68,909,220 by 1,728 to determine the volume in cubic feet...
68,909,220/1,728 = 39,878.02083 cubic feet,
which is 39,878 cubic feet rounded to the nearest cubic foot
Answer:
total volume=39878 cubic foot
Step-by-step explanation:
Hello , I can help you with this
to solve this you can find the volumen of a 1-dolar bill and then convert this volume into cubic foot, then you must multiply this volume by 1.000.000.000, to obtain the volumen ocuppied by a billion of dollars, let's do it.
Step 1
find the volume of a 1-dollar bill
the volume is given by
Volume=long*wide*thick.
so
long=6.14 inches
wide= 2.61 inches
thick=0.0043 inches
pute the values into the equation
Volume=6.14 inches*2.61 inches*0.0043 inches
Volume=0.06890922 cubic inches
Step 2
find how much cubic inches are in a cubic feet
1 feet=12 inches
[tex]1\ ft= 12\ inches\\\\1 feet^{3}= (12\ inches)^{3}\\\\ 1 feet^{3}=1728\ in^{3}\\[/tex]
convert the volume from cubic inches into cubic foot using a rule of three
1 cubic feet⇔ 1728 cubic inches
x cubic inches ⇔ 0.06890922 cubic inches
do the relation and solve for x
[tex]\frac{1}{1728}=\frac{x}{0.06890922}\\\\x=\frac{1*0.06890922}{1728}\\x=0.000039878\\[/tex]
so, the volume of a 1-dollar bill is 0.000039878 cubic foot
Step 3
multiply the the volume of a 1-dollar bill( cubic foot) by 1000000000(a billion)
total volume= 0.000039878 cubic foot*1000000000
total volume=39878.02 cubic foot
I really hope it helps you, have a nice day
