Final answer:
The volume of the triangular pyramid can be found using the formula V = (1/3)Bh, where B is the area of the base and h is the height. By substituting the given values, we can calculate the volume as 180 m^3. The expressions (1/3) * 90 * 6, (1/3) * 6 * 90, and (1/3) * 540 can be used to find the volume.
Step-by-step explanation:
To find the volume of a triangular pyramid, we can use the formula V = (1/3)Bh, where B is the area of the base and h is the height. In this case, the area of the base is given as 90 m^2 and the height is 6 m.
So, we can substitute these values into the formula to find the volume:
V = (1/3) * 90 * 6 = 180 m^3
Therefore, the expressions that can be used to find the volume of the pyramid are A. (1/3) * 90 * 6, B. (1/3) * 6 * 90, and E. (1/3) * 540.