The United States five-dollar bill are 155.956 mm long and 66.294 wide. A stack of these bills fits inside a 156 x 66.3 x 66.3 mm box and uses up 258,473.68 cubic millimeters of volume.

Part A: How much money is in the box?

Part B: What percent of the box's volume is taken up by the five-dollar bills?

A) $5 * 25 = $75

B) 37.69%

Step-by-step explanation:

The dimension of five dollar bill:

Length = 155.956mm

Width = 66.294

Volume of box being occupied by 5 dollar bill = 258,473.68mm^3

Dimension of box:

156 x 66.3 x 66.3 mm

If volume of the 5-dollar bill is 258,473.68mm^3

Then, the Thickness of the five dollar stack equals:

Volume = Length * width * height

258,473.68mm^3 = 155.956mm * 66.294 * height

258,473.68 = 10338.947064 * h

h = (258473.68/10338.947064)

h = 25.000000003288 = 25

Therefore, the amount of money in the box is:

$5 * 25 = $75

Percentage of box volume taken up by $5 bill

Volume of the box:

156 x 66.3 x 66.3 mm = 685727.6399mm^3

Volume of box being occupied by 5 dollar bill = 258,473.68mm^3

(258,473.68 / 685727.6399) * 100

=37.69%