SOLUTION: Please help me find the volume, to the nearest tenth, of a pyramid that is 6 feet tall and whose base is an equilateral triangle with sides each 10 feet long?

Question 155041: Please help me find the volume, to the nearest tenth, of a pyramid that is 6 feet tall and whose base is an equilateral triangle with sides each 10 feet long?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
The volume of a regular pyramid is found by:
where: B = area of the base and h = the height of the pyramid.
In this problem, using Heron's formuls for the area of a triangle when the three sides are known. S = Semi-perimeter = 30/2 = 15,
a = b = c = 10, so...

So the volume of the pyramid is:

Cubic feet.
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