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
[tex]V=\dfrac{1}{3}ah.[/tex]
Therefore, the volume of the given triangular pyramid is given by
[tex]V=\dfrac{1}{3}\times8\times8.54=\dfrac{68.32}{3}=22.773.[/tex]
Thus, the volume of the given triangular pyramid is 22.773 cubic units.
