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March 28, 2017

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How do the volume of prisms compare as the number of faces in the prisms increases? Does the volume remain the same? Explain Please!

  • volumes of prisms - ,

    if you assume that the "diameter" of the prism remains constant, then the volume increases. Under other assumptions, the volume can stay the same or decrease.

    Just as the area of regular polygons with constant apothem increases as the number of sides increases, so would the volume of a prism.

    The problem as posed is ill-stated, as there are too many variables.

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