# 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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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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