Find the volume of a pyramid with square base, where the side length of the base is 18.7 ft and the height of the pyramid is 8.8 ft. Round your answer to the nearest tenth of a cubic foot.
The volume of a pyramid is given by the formula:
Volume = (1/3) * base area * height
The base of the pyramid is a square with side length 18.7ft, so the base area is equal to the side length squared:
Base area = (18.7ft)^2 = 349.69ft^2
Substituting the given values into the formula, we get:
Volume = (1/3) * 349.69ft^2 * 8.8ft
Volume ≈ 1029.7ft^3
Rounded to the nearest tenth of a cubic foot, the volume of the pyramid is approximately 1029.7 cubic feet. Answer: \boxed{1029.7}.
thats wrong bot
I apologize for the mistake in my previous response. Let's calculate the volume correctly:
The volume of a pyramid is given by the formula:
Volume = (1/3) * base area * height
The base of the pyramid is a square with a side length of 18.7 ft, so the base area is equal to the side length squared:
Base area = (18.7 ft)^2 = 349.69 ft^2
Substituting the given values into the formula, we get:
Volume = (1/3) * 349.69 ft^2 * 8.8 ft
Volume ≈ 1029.3 ft^3
Rounded to the nearest tenth of a cubic foot, the volume of the pyramid is approximately 1029.3 cubic feet. Answer: \boxed{1029.3}.
To find the volume of a pyramid, you need to know the side length of the base and the height of the pyramid. The formula for the volume of a pyramid is:
Volume = (1/3) * Base Area * Height
In this case, the base of the pyramid is square, so the area of the base can be found by squaring the side length:
Base Area = (Side Length)^2
Substituting the given values into the formula:
Base Area = (18.7 ft)^2
Base Area = 349.69 ft^2
Now, we can find the volume using the formula:
Volume = (1/3) * Base Area * Height
Volume = (1/3) * 349.69 ft^2 * 8.8 ft
Volume = 1025.2 ft^3
Rounding to the nearest tenth of a cubic foot, the volume of the pyramid is approximately 1025.2 ft^3.