Final answer:
The volume of a rectangular pyramid can be found by multiplying the area of the base by the height and then dividing by 3. By substituting the given values into the formula, we can find the height of the pyramid to be 11 units.
Step-by-step explanation:
The volume of a rectangular pyramid can be found by multiplying the area of the rectangular base by the height of the pyramid and then dividing by 3. The formula is V = (lwh)/3, where V is the volume, l is the length of the base, w is the width of the base, and h is the height of the pyramid. In this case, the length is 6 units, the width is 9 units, and the volume is 198 units³. So we can substitute these values into the formula and solve for h.
V = (6 * 9 * h)/3
V = 54h/3
V = 18h
Now we can solve for h by dividing both sides of the equation by 18:
198 = 18h
h = 198/18
h = 11
Therefore, the height of the pyramid is 11 units.