Find the volume of a pyramid with a square base, where the side length of the base is 18, point, 5, in18.5 in and the height of the pyramid is 10, point, 9, in10.9 in. Round your answer to the nearest tenth of a cubic inch.
First, we need to find the area of the square base:
Area of square = side length*side length
Area of square = 18.5 in * 18.5 in
Area of square = 342.25 sq in
Next, we need to find the volume of the pyramid:
Volume = (1/3)*base area*height
Volume = (1/3)*342.25 sq in * 10.9 in
Volume = 1242.425 cubic in
Rounded to the nearest tenth of a cubic inch, the volume of the pyramid is 1242.4 cubic inches.