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Math Help - unit conversion

  1. #1
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    unit conversion

    2a)Dr. Hole describes a block of granite that is 1 cubic foot and weighs
    175 lbs. Determine the density of the granite in g per cubic centimeters
    (remember that 1 foot = 12 inches, 1 inch = 2.54 cm, 1 lb = 454 g)

    2b) Extra credit. Imagine that Dr. Hole's block of granite has turned into
    a sandy loam soil with 60% sand, 30% silt and 10% clay. How many soil
    particles are contained in 1 cubic cm of this soil (bulk density = 1.4
    g/cm3). Assume (as mentioned in the article) that 1 g of sand contains 1000
    particles, 1 g of silt contains 6 million particles and 1 g of clay
    contains 90 billion particles.

    If you can get me started I would greatly appreciate it!
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  2. #2
    Senior Member topher0805's Avatar
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    Recall that density is defined as being the amount of mass in a certain volume.

    Or:

    d = \frac{m}{v}

    So we can say that:

    d = \frac {165 lbs.}{1 ft^3}

    Now we need to convert into the units that were asked for:

    \frac {165 lbs.}{1 ft^3} \cdot \frac {1 ft}{12 in.} \cdot \frac {1 in.}{2.54 cm} \cdot \frac {454 g}{1 lb.} = ?

    Just multiply out and you have your answer.
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  3. #3
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    Thanks
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