Find the volume of a Pyramid with a square base where the perimeter of the base is 7.3 ft and the height of the Pyramid is 6 ft. Round your answer to the nearest tenth of a cubic foot.
First, we need to find the length of each side of the square base. Since the perimeter is 7.3 ft and there are 4 sides, each side must be 7.3/4 = 1.825 ft.
Now we can use the formula for the volume of a pyramid: V = (1/3)Bh, where B is the area of the base and h is the height.
The area of the square base is side^2 = 1.825^2 = 3.33 sq ft.
Plugging in the values, we get:
V = (1/3)(3.33)(6)
V = 6.66 cubic feet
Rounding to the nearest tenth, the volume of the Pyramid is 6.7 cubic feet.
To find the volume of a pyramid, we can use the formula:
Volume = (1/3) * Base Area * Height
First, let's determine the base area of the pyramid. Since the base of the pyramid is square, each side length of the square base will have the same length.
We are given that the perimeter of the base is 7.3 ft. Since a square has all sides equal, we divide the perimeter by 4 to find the length of each side:
Side length = (7.3 ft) / 4
Side length ≈ 1.825 ft
Now we can calculate the base area:
Base Area = Side length^2
Base Area = (1.825 ft)^2
Base Area ≈ 3.33 ft^2
Next, we know the height of the pyramid is 6 ft.
Now we can substitute the values into the volume formula:
Volume = (1/3) * Base Area * Height
Volume = (1/3) * (3.33 ft^2) * 6 ft
Volume ≈ 6.66 ft^3
Therefore, the volume of the pyramid is approximately 6.7 cubic feet (rounded to the nearest tenth).
To find the volume of a pyramid, you need to multiply the area of the base by the height and divide the result by three:
Volume = (Base Area * Height) / 3
In this case, the base of the pyramid is a square, and we are given the perimeter of the base, which is 7.3 ft. The perimeter of a square is four times the length of one of its sides, so we can find the length of one side of the square base by dividing the perimeter by 4:
Side Length = Perimeter / 4 = 7.3 ft / 4 = 1.825 ft
Now that we have the side length of the square base, we can find the area of the base by squaring the side length:
Base Area = Side Length^2 = (1.825 ft)^2 = 3.33 sq ft
Finally, we can calculate the volume of the pyramid using the formula:
Volume = (Base Area * Height) / 3 = (3.33 sq ft * 6 ft) / 3 = 19.98 cubic ft
Rounding to the nearest tenth, the volume of the pyramid is approximately 20.0 cubic ft.