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31 January, 21:09

9. If a prism and pyramid have congruent bases and equal altitudes, then the volume of the pyramid is A. equal to the volume of the prism B. one-third of the volume of the prism C. one-half of the volume of the prism D. three times the volume of the prism

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  1. 31 January, 21:51
    0
    The general rule is that

    Volume of Pyramid = (1/3) * (Volume of Prism)

    Or

    Volume of Pyramid = (Volume of Prism) / 3

    Which is why the answer is choice B) one third of the volume of the prism

    side note: we can multiply both sides by 3 to get

    Volume of Prism = 3 * (Volume of Pyramid)

    The prism and pyramid must have the same base and altitude
  2. 1 February, 00:42
    0
    B). one - third of the volume of the prism

    Step-by-step explanation:

    When a pyramid and a prism have congruent base and equal altitudes, the we know that the volume of the pyramid is one third of the volume of the prism.

    The universal mathematical rule is

    Volume of pyramid = volume of the prism / 3

    Therefore, option B is the correct answer.
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