solid mensuration

The base of a right prism is a rhombus whose sides are 12 inch and whose longer diagonal is 15 inch. Find its volume.

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asked by nika
  1. volume = base x height

    area of base:
    construct a right angled triangle by drawing an altiude to the longer diagonal.
    x^2 + 36 = 144
    x = √108
    there are 4 congruent right-angled triangles
    area of base = 4((1/2)(6)(√108)
    = 12√108

    volume = 12√108 h
    once you find out what the h is, you didn't state it, you can surely finish it.

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    posted by Reiny

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