Final answer:
To answer how many dollar bills could fit in the Apollo astronauts' living quarters of 213 cubic feet, we calculate the volume of a dollar bill and find that approximately 5,412,000 bills could theoretically fit in that space, ignoring real-world constraints in stacking.
Step-by-step explanation:
The student is asking about a volume calculation problem. To determine how many dollar bills could fit in a space of 213 cubic feet, we need the dimensions of a dollar bill. A US dollar bill measures 2.61 inches by 6.14 inches and is 0.0043 inches thick. Therefore, the volume of a single dollar bill is approximately 0.068 cubic inches. To find out how many dollar bills can fit in the astronauts' living quarters, we convert the volume from cubic feet to cubic inches since the bill measurements are in inches (there are 1,728 cubic inches in a cubic foot). So, 213 cubic feet equals 368,064 cubic inches. Now, we divide the total available volume by the volume of a single dollar bill: 368,064 cubic inches ÷ 0.068 cubic inches equals approximately 5,412,000 dollar bills that could theoretically fit in the 213 cubic feet space.
However, this calculation ignores practical constraints such as the way the bills would need to be stacked without any wasted space, which is unrealistic in practice. Therefore, the actual number that could fit would be somewhat less, but this gives us a theoretical maximum.