Answer:
906 in³
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, the base is a triangle. The formula for its area is ...
A = 1/2bh
where b is the base of the triangle and h is the triangle height.
__
Triangle area:
A = 1/2(19 in)(13 in) = 123.5 in²
Pyramid volume:
V = 1/3(123.5 in²)(22 in) = 905 2/3 in³
V ≈ 906 in³
The volume of the triangular pyramid is about 906 in³.