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Math Help - Packing of Particles in Solids-space Lattices

  1. #1
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    Packing of Particles in Solids-space Lattices

    Technically, this question is from a chemistry course, but I have a question about finding the volume of spheres.

    We had to do an experiment with Marshshmallows, plums or anything spherical.
    And this is how we learned about three types of packing
    -hexagonal closest packing
    -face-centred or cubic closest packing
    -body-centred packing

    One of the things we have to figure out is the density in units/cm^3.
    It askes : If a box fit tightly around the three layers, what would its volume be? Assuming a mass of 1 unit per sphere, calculate the density in units/cm^3.

    I'm sort of lost when it comes to figuring out the volume and any help you could give me would be greatly appreciated!
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  2. #2
    Junior Member
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    Jul 2009
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    you arent suppose to calculate the sphere's volume

    you have to imagine the box fits 3 layers, and you have to calculate the box's volume, because the lattice volume is the sphere's volume plus the empty space volume.
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