Find the volume of a pyramid with a square base, where the side length of the base is 13.9 cm and the height of the pyramid is 6.3 cm. Round your answer to the nearest tenth of a cubic centimeter.
The volume of a pyramid is equal to one-third the product of the area of the base and the height.
To find the area of the base, we square the length of one side of the square base and get $13.9^2 = 193.21$ square cm.
The volume is then $V = \frac{1}{3}(193.21)(6.3) = \boxed{407.2}$ cubic cm.