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15 September, 16:36

The United States five-dollar bill are 155.956 mm long and 66.294 wide. A stack of these bills fits inside a 156 x 66.3 x 66.3 mm box and uses up 258,473.68 cubic millimeters of volume.

Part A: How much money is in the box?

Part B: What percent of the box's volume is taken up by the five-dollar bills?

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  1. 15 September, 17:48
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    A) $5 * 25 = $75

    B) 37.69%

    Step-by-step explanation:

    The dimension of five dollar bill:

    Length = 155.956mm

    Width = 66.294

    Volume of box being occupied by 5 dollar bill = 258,473.68mm^3

    Dimension of box:

    156 x 66.3 x 66.3 mm

    If volume of the 5-dollar bill is 258,473.68mm^3

    Then, the Thickness of the five dollar stack equals:

    Volume = Length * width * height

    258,473.68mm^3 = 155.956mm * 66.294 * height

    258,473.68 = 10338.947064 * h

    h = (258473.68/10338.947064)

    h = 25.000000003288 = 25

    Therefore, the amount of money in the box is:

    $5 * 25 = $75

    Percentage of box volume taken up by $5 bill

    Volume of the box:

    156 x 66.3 x 66.3 mm = 685727.6399mm^3

    Volume of box being occupied by 5 dollar bill = 258,473.68mm^3

    (258,473.68 / 685727.6399) * 100

    =37.69%
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