To determine the size of a cube that would hold 1,000,000 dollars in 100 dollar bills, we need to calculate the volume of the bills and then find the dimensions of a cube with that volume.
Size of a 100 Dollar Bill:
According to the search results, a 100 dollar bill measures approximately 6.14 x 2.61 inches [1].
Volume of 1,000,000 Dollars:
To calculate the volume, we need to determine the number of bills that make up 1,000,000 dollars. Since each bill is worth 100 dollars, we divide 1,000,000 by 100 to get 10,000 bills.
Dimensions of the Cube:
To find the dimensions of the cube, we need to calculate the volume of 10,000 bills. Since each bill has a thickness of negligible size, we can assume that the bills can be stacked without any gaps. Therefore, the volume of the bills is equal to the sum of the areas of the bills multiplied by the thickness.
The thickness of a bill is not readily available, but for the purpose of this calculation, we can assume it to be 0.0043 inches, which is the average thickness of a US dollar bill [2].
Volume = (Area of a bill) x (Thickness of a bill) x (Number of bills)
Volume = (6.14 x 2.61) x 0.0043 x 10,000
Calculating this, we find that the volume of the bills is approximately 672.6 cubic inches.
To find the dimensions of a cube with this volume, we need to find the cube root of the volume.
Cube Root of 672.6 = 8.6 inches
Therefore, a cube that would hold 1,000,000 dollars in 100 dollar bills would have dimensions of approximately 8.6 inches on each side.