9514 1404 393
Answer:
80 in^3
Explanation:
The volume of a pyramid is given by the formula ...
V = 1/3Bh
where B is the area of the base, and h is the height of the pyramid. Here, h=8 in.
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Here, the base is a triangle. The formula for its area is ...
A = 1/2bh
where b is the base segment of the triangle, and h is the height of the triangle perpendicular to the base segment. Here, b=10 in, and h = 6 in.
The triangular base area is ...
A = 1/2(10 in)(6 in) = 30 in^2 . . . . base area "B"
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Using the above base area and pyramid height, we find the volume of the pyramid is ...
V = 1/3(30 in^2)(8 in) = 80 in^3
The volume of the pyramid is 80 cubic inches.