a pyramid has a square base that measures 3 feet on each side. the height of the pyramid is 19 inches. what is the volume?
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To find the volume of a pyramid, you can use the formula V = (1/3) * base area * height.
In this case, the base of the pyramid is a square with sides measuring 3 feet. So, the base area is equal to the square of the side length, which is 3 * 3 = 9 square feet.
The height of the pyramid is given to be 19 inches. Since we need to use consistent units, we should convert the height to feet. There are 12 inches in a foot, so 19 inches is equal to 19 / 12 = 1.5833 feet (rounded to four decimal places).
Now we can substitute the values into the formula:
V = (1/3) * 9 square feet * 1.5833 feet
V ≈ 4.1667 cubic feet
Therefore, the volume of the pyramid is approximately 4.1667 cubic feet.