Question

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

How many cubic feet would a billion dollars occupy? Round your answer to the nearest cubic foot.

Answer 1

39,878 cubic feet

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 2

total volume=39878 cubic foot

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

`1\ ft= 12\ inches\\\\1 feet^(3)= (12\ inches)^(3)\\\\ 1 feet^(3)=1728\ in^(3)\\`

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

`(1)/(1728)=(x)/(0.06890922)\\\\x=(1*0.06890922)/(1728)\\x=0.000039878\\`

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