Find the volume of a pyramid with a square base, where the side length of the base is 7.5 cm and the height of the pyramid is 10.2 cm. Round your answer to the nearest tenth of a cubic centimeter.
The formula for the volume of a pyramid is V = (1/3)Bh, where B is the area of the base and h is the height.
Since the base is a square with a side length of 7.5 cm, the area of the base is B = (7.5 cm)² = 56.25 cm².
Substituting B = 56.25 cm² and h = 10.2 cm into the formula for the volume, we get:
V = (1/3)(56.25 cm²)(10.2 cm) = 190.6875 cm³
Rounding to the nearest tenth of a cubic centimeter, the volume of the pyramid is approximately 190.7 cm³.