Tuesday, September 30, 2014

The base of a triangular prism is a right triangle with hypotenuse 10 m long and one leg 6 m long. If the height of the prism is 12 m, what is the...

Hello!


For a prism its volume is where is the area of a base and is the height of a prism. is given so it is sufficient to find


A base is a right triangle, its area may be computed as where and are the lengths of the legs. Also denote the length of the hypotenuse as


One leg, is given, and we can find the second by the Pythagorean theorem:


Thus the formula is In numbers it is This is the answer.

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