Find the volume of a pyramid with a square base, where the perimeter of the base is 19, point, 9, in19.9 in and the height of the pyramid is 14, point, 3, in14.3 in. 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) * base area * height.
First, we need to find the area of the square base. The perimeter of the base is 19.9, so each side of the square is 19.9 / 4 = 4.975 inches. Therefore, the area of the base is 4.975^2 = 24.75 square inches.
Now, we can plug the values into the formula to find the volume:
V = (1/3) * 24.75 * 14.3
V = (1/3) * 354.675
V = 118.225 cubic inches
Therefore, the volume of the pyramid is 118.2 cubic inches.