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Formula to determine cubic area of money stacks?

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  • Formula to determine cubic area of money stacks?

    I am trying to generate an infographic that compares the size of a stack of money to a 6-ft. tall human.

    There will be various sums of money ($1.2 billion, $47.6 million, etc.) so I'm hoping to create the formula in Excel and just plug-in the different dollar amounts to determine the area.

    A $100 bill is .0043 inches thick (.10922 mm), 6 inches wide (152.4 mm) and 2.5 inches tall (63.5 mm)

    So a stack of one thousand $100 bills ($100,000) is 4.3 inches thick.

    If I'm displaying a single stack, it's not a problem. But I may want to have multiple stacks (say a 5-stack by 5-stack array) so the money amount will look more like a cube than a giant, single column.

    This is what's giving me trouble. How can I create a formula to see how big a cube of x number of dollars would be?

    Thanks for your help. Sorry if this is confusing

  • #2
    Re: Formula to determine cubic area of money stacks?

    a cube is a volume that is equal on all three sides (it has the same depth, height, and width) based on that, I've created an excel calculation that takes the dollar amount of bills, and uses the goalseek command to find the cubic size of the bills. since the bills themselves aren't cubic, I've added a calculation that returns the real size taken by the bills. (bold underline text is only for reference, and not a part of the equation)
    Code:
    A1                          height                width            depth              volume       $1  =E3*1
    size requested (in inches)  B2                    =B2              =B2                =D2*C2*B2    $2  =E3*2
    number of bills             =QUOTIENT(B2,0.0043)  =QUOTIENT(C2,6)  =QUOTIENT(D2,2.5)  =D3*C3*B3    $5  =E3*5
    actual size                 =B3*0.0043            =C3*6            =D3*2.5            =D4*C4*B4   $10  =E3*10
                                                                                                      $20  =E3*20
                                                                                                      $50  =E3*50
                                                                                                     $100  =E3*100
    to use this, you can provide an inch measurement in B2, and it will spit out how much will fill that cubic volume, or you can goalseek in whatever dollar amount you want (by selecting the appropriate set cell in column G) and selecting B2 as the changing cell. alternatively, you can erase the HWD values in B22 and use your own dimensions (e.g., 10 high, 20 wide, 15 deep)
    Last edited by gubment_cheez; 02-02-2008, 02:56 PM.

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    • #3
      Re: Formula to determine cubic area of money stacks?

      Originally posted by gubment_cheez
      or you can goalseek in whatever dollar amount you want (by selecting the appropriate set cell in column G) and selecting B2 as the changing cell.
      Thank you very much for your help (I never would have figured this out)

      Could you help me understand the above quote?

      For example, if I'm trying to find the size for $1,500

      Again, I appreciate your help

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      • #4
        Re: Formula to determine cubic area of money stacks?

        What Is the cubic area of 1000 bills

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        • #5
          Re: Formula to determine cubic area of money stacks?

          The basic formula for cubic area (i.e. volume) is Length * Width * Height. Substitute the thickness for the height, and work from there.

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