Find the volume of a Pyramid with a square base where the side length of the base is 10.6 in and the height of the Pyramid is 12.3in. Round your answer to the nearest tenth of a cubic inch
The volume of a pyramid can be calculated using the formula: V = (1/3)Bh where B is the area of the base and h is the height of the pyramid.
Since the base of the pyramid is a square with a side length of 10.6 inches, the area of the base is:
B = s^2 = 10.6^2 = 112.36 square inches
Substituting B = 112.36 and h = 12.3 into the formula for the volume of a pyramid, we get:
V = (1/3)Bh = (1/3)(112.36)(12.3) = 464.14 cubic inches
Rounding the answer to the nearest tenth of a cubic inch, we get:
V ≈ 464.1 cubic inches.
To find the volume of a pyramid, you can use the formula:
Volume = (1/3) * base area * height
First, let's find the base area of the pyramid. Since the base is a square with side length 10.6 inches, the area can be calculated by:
Base area = side length * side length
Base area = 10.6 in * 10.6 in
Base area = 112.36 square inches
Next, substitute the values into the volume formula:
Volume = (1/3) * 112.36 square inches * 12.3 inches
Volume ≈ (1/3) * 112.36 * 12.3 cubic inches
Volume ≈ 460.358 cubic inches (rounded to three decimal places)
Therefore, the volume of the pyramid is approximately 460.4 cubic inches (rounded to the nearest tenth of a cubic inch).
To find the volume of a pyramid, you can use the formula V = (1/3) * base area * height.
Step 1: Calculate the base area:
Since the base of the pyramid is a square, you can find the area by multiplying the side length by itself. In this case, the side length is 10.6 inches.
Base area = side length * side length = 10.6 in * 10.6 in = 112.36 in²
Step 2: Plug the values into the volume formula:
V = (1/3) * base area * height
V = (1/3) * 112.36 in² * 12.3 in
Step 3: Calculate the volume:
V = (1/3) * 112.36 in² * 12.3 in = 458.08 in³
Rounding to the nearest tenth, the volume of the pyramid is approximately 458.1 cubic inches.