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A triangular pyramid has a base whose sides are 5 cm, 7 cm, and 7.5 cm. If the height of the pyramid is 10 cm, what is the volume of the pyramid?

Guest Apr 27, 2017
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Volume of a pyramid = (1/3)*base area*height

 

Using Heron's formula for area of a triangle we have:

 

semi-perimeter:   s = (5 + 7 + 7.5)/2 = 9.75cm

 

base area = sqrt[s*(s-5)*(s-7)*(s-7.5)] ≈ 16.928 cm2

 

volume = 16.928*10 = 169.28 cm3

.

Alan  Apr 27, 2017

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