Question

Mr. Smith need to move $6 million out of the country. The dimensions of a US bill is 2.61 inches by 6.14 inches by

0.0043 inches.

How many cubic inches are in a cubic foot?
1728 cubic inches per cubic foot

How many cubic feet will this be in $5 bills? Round answer to the nearest 10th.

I was able to figure out the first answer but I don't know where to begin to start the second problem​

Answer 1

47.85 ft³

Explanation:

$6 million will be $6/$5 million = 1.2 million bills of the $5 denomination.

The volume of that is ...

(1.2×10⁶ bills)×((2.61 in)(6.14 in)(0.0043 in)/bill)/(1728 in³/ft³)

= 1.2×2.61×6.14×4.3/1.728 ft³ ≈ 47.85 ft³

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The units analysis is ...

`(\text{number of bills})\cdot\frac{\text{volume}}{\text{bill}}}=\text{volume}`

where the volume per bill is the product of the given dimensions, and the conversion to cubic feet is ...

in³ × (ft³/in³) = ft³

where the number of cubic feet per cubic inch is 1/1728.