How is the volume of a prism related to the base area and height?

The relationship between the volume of a prism, the area of its base, and its height is described by the formula V = Bh. In this formula, V represents volume, B is the area of the base, and h is the height of the prism.

To understand why this formula is correct, consider that a prism is essentially a three-dimensional shape with constant cross-sections. The volume of any solid is found by calculating how much space it occupies. For a prism, you can visualize it as stacking many bases (with area B) from the bottom to the top of the prism to reach the height (h). Since the base area does not change as you move through the height of the prism, you multiply the area of the base by the height to determine the total volume.

This formula works for any type of prism, whether it has a rectangular, triangular, or any other polygonal base, as long as you know the body’s height and the area of the base. The other options do not represent the correct relationship between volume, base area, and height for a prism.