To find the height of a square pyramid, we can use the formula for the volume of a pyramid:
Volume = (1/3) × Base Area × Height
In this case, the base of the pyramid is a square. The area of the base (A) can be calculated as:
Base Area = Side Length × Side Length
Given that the side length of the base is 3 feet, we can substitute that into our equation:
Base Area = 3 ft × 3 ft = 9 square feet
Now we can plug the base area and the volume into the volume formula:
12 cubic feet = (1/3) × 9 square feet × Height
To find the height, we simplify this equation:
12 = 3 × Height
Next, we divide both sides by 3:
Height = 12 / 3 = 4 feet
Therefore, the height of the square pyramid is 4 feet.