A $20 bill is about 6 inches long and 2 1/2 inches wide. One hundred $20 bills f

Question

A $20 bill is about 6 inches long and 2 1/2 inches wide. One hundred $20 bills form a bundle that is about 5/8 inch thick. A movie director is filming a scene in which a robber leaves a bank carrying $1,000,000 in a large suitcase filled with bundles of $20 bills. Is it reasonable that a suitcase of dimensions 24 x 16 x 8 inches could hold $1,000,000 in $20 bills?

A. Not reasonable, when full the suitcase holds about $410,000

B. Not reasonable, when full the suitcase holds about $660,000

C. Reasonable, when full the suitcase holds about $1,160,000

D. Reasonable, when full the suitcase holds about $6,550,000

Explanation / Answer

The volume of one hundred $20 bills is = 6x5/2x5/8 = 9.375 cubic inches

The volume of the suitcase is = 24x16x8 = 3072 cubic inches

9.375 cubic inches volume contains 100 bills of $20 each.

3072 cubic inches of volume contains = (100x3072)/9.375 = 32768 bills

Therefore the total value of the bills is = 32768x20 = $655,360

So it is not reasonable that the suitcase could hold $1,000,000 in $20 bills, infact it holds $655,360 (about $660,000).

Hence the correct choice is B.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.