Answer: The volume of the given triangular pyramid is 22.773 cubic units.
Step-by-step explanation: We are given to find the volume of a triangular pyramid with the following dimensions :
area of the triangle base, a = 8 sq. units
and
height of the pyramid, h = 8.54 units.
We know that
the area of a triangular pyramid with triangle base area a and height h is given by
![V=(1)/(3)ah.](https://img.qammunity.org/2019/formulas/mathematics/high-school/pv1i3gmg2u5asyoa5nz069qajdno5vhrvb.png)
Therefore, the volume of the given triangular pyramid is given by
![V=(1)/(3)*8*8.54=(68.32)/(3)=22.773.](https://img.qammunity.org/2019/formulas/mathematics/high-school/i49qbxn1xoa8j6k7ix6o3j7vgt7q3jmnhu.png)
Thus, the volume of the given triangular pyramid is 22.773 cubic units.