The volume of the triangular pyramid is 381 in^3, so the correct option for the problem is b.
How to get the volume of the pyramid?
For a triangular pyramid, the volume is given as:
V = (1/3)*base*height.
In this case, we can see that the height is:
h = 17.6 in.
And the base is equal to:
base = 12.3in*10in/2 = 61.5 in^2
Replacing that on the volume equation we get:
v = (1/3)*61.5 in^2*17.6 in. = 361 in^3
So the correct option is b.
If you want to learn more about volume, you can read:
https://brainly.com/question/1972490