Answer:
The formula for the volume of a pyramid is:
V = (1/3) × base area × height
We know that the base of the pyramid is a square with a side length of 7 centimeters. So, the base area is:
base area = side length squared = 7² = 49 square centimeters
We also know that the volume of the pyramid is 196 cubic centimeters. Plugging these values into the formula above and solving for the height:
196 = (1/3) × 49 × height
588 = 49 × height
height = 588/49
height = 12
Therefore, the height of the pyramid is 12 centimeters.