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.
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
1 answer
1 answer