Math

Question:
1. The edge lengths of a right rectangular prism are
1/2 meter, 1/2 meter, and 3/4 meter. How many unit cubes with edge lengths of 1/12 meter can fit inside?

Someone please help me. I dont understand this at all, so I can't give you my answer. If anyone could simplify the question or give me the answer so I can put it into my own words, that would be great. Thanks

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asked by ItsBeeboBaby
  1. you can do it in a few ways. One way is to see how many small cubes fit in each dimension
    1/2 = 6/12
    3/4 = 9/12
    so, the block can hold 6*6*9 = 324 small cubes

    Or, 1/2 * 1/2 * 3/4 = 3/16 m^3
    scale that by a factor of 12 and the volume scales by a factor of 12^3
    3/16 * 12^3 = 324

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    posted by oobleck
  2. Thanks mate :)

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    posted by ItsBeeboBaby
  3. Vp = L*W*h = 1/2 * 1/2 * 3/4 = 3/16 m^3 = Vol. of prism.
    Vc = L*W*h = 1/12 * 1/12 * 1/12 = 1/1728 m^3 = Vol. of cube.

    Vp/Vc = (3/16)/(1/1728) = 3/16 * 1728/1 = 324 Cubes.

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    posted by Henry2,

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