Final answer:
To determine how much money is in a cubic foot of $100 bills, first calculate the volume of a stack of 100 bills. Then, determine how many such stacks fit in a cubic foot and multiply by the value per stack. There are 192 stacks in a cubic foot, totaling $1,920,000.
Step-by-step explanation:
The question at hand involves calculating the value of a cubic foot of $100 bills. We'll use the provided reference information to derive this value.
Step-by-step Calculation
- First, calculate the volume of a stack of 100 bills. The dimensions of a single bill are approximately 3 inches by 6 inches. A stack of 100 of these is about 0.5 inch thick. Therefore, the total volume of a stack of 100 bills is:
- volume of stack = length x width x height = 6 in. x 3 in. x 0.5 in. = 9 cubic inches.
- There are 1728 cubic inches in a cubic foot (12 inches x 12 inches x 12 inches). To find out how many 9 cubic inch stacks fit into a cubic foot, we divide 1728 by 9, which gives us 192 stacks of $100 bills in a cubic foot.
- Since each stack is worth $10,000, we multiply the number of stacks by the value per stack to find the total value: 192 stacks x $10,000/stack = $1,920,000.
Thus, a cubic foot of $100 bills is equivalent to $1,920,000.