Answer:
88 in³
Explanation:
You want the volume of a triangular pyramid with a right triangle base and height 11 in. The legs of the base are 8 in and 6 in.
Base area
The area of the right triangle base is given by ...
A = 1/2bh
A = 1/2(8 in)(6 in) = 24 in²
Volume
The volume of the prism is given by ...
V = 1/3Bh
where B is the base area (24 in²) and h is the height (11 in).
V = 1/3(24 in²)(11 in) = 88 in³
The volume of the pyramid is 88 cubic inches.
__
Additional comment
We found the area of the triangle first, because we knew we'd need it for the volume formula.
<95141404393>