Sara correctly found the volume of the square pyramid to be 1980 ft3 . What is the height of the pyramid?
H feet, 5 feet and 12 feet
To find the height of the pyramid, we can use the formula for the volume of a pyramid:
Volume = (1/3) * base area * height
Given that the volume is 1980 ft^3, let's consider the possible base areas:
If the base is a square with sides of 5 feet, then the base area would be:
Base area = 5 ft * 5 ft = 25 ft^2
If the base is a square with sides of 12 feet, then the base area would be:
Base area = 12 ft * 12 ft = 144 ft^2
Let's calculate the height for each case:
For the base area of 25 ft^2:
1980 ft^3 = (1/3) * 25 ft^2 * height
1980 ft^3 = (25/3) * height
height = 1980 ft^3 / (25/3) ft^2
height = 237.6 ft
For the base area of 144 ft^2:
1980 ft^3 = (1/3) * 144 ft^2 * height
1980 ft^3 = 48 * height
height = 1980 ft^3 / 48 ft^2
height = 41.25 ft
Therefore, the correct height of the square pyramid can be 237.6 feet or 41.25 feet depending on the base area.