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natita [175]
3 years ago
10

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

Mathematics
1 answer:
Nonamiya [84]3 years ago
6 0

Answer:

  47.85 ft³

Step-by-step 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

___

The units analysis is ...

  (\text{number of bills})\cdot\dfrac{\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.

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