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14 September, 22:35

F. if a 2 x 6 (which means the actual dimensions of the board are 1.5 in. x 5.5 in.) milled from the same wood (and therefore has the same density) weighs 3.2 lb, how long is the board?

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  1. 14 September, 23:59
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    By definition, we have to

    W = V * Dw

    W: weight

    V: Volume

    D: Density

    Clearing and Substituting we have:

    V = W / Dw = (3.2 lb) / (0.021 (lb / in ^ 3)) = 152.38 in ^ 3

    Then, on the other hand, the volume is

    V = l * w * d

    l: long

    w: width

    d: depth

    Clearing and substituting

    l = V / (w * d) = (152.38 in ^ 3) / ((1.5 in) * (5.5 in)) = 18.5 in

    The answer is 18.5 in
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