What is the formula for the volume of a pyramid?

The formula for the volume of a pyramid is given by V = (1/3)Bh, where 'B' represents the area of the base, and 'h' is the height of the pyramid.

This formula derives from the concept of how the volume of a pyramid relates to the volume of a prism. A pyramid can be thought of as a prism that tapers to a point, and it can be shown that the volume of a pyramid is one-third the volume of a prism with the same base area and height.

When calculating the volume, the area of the base is essential as it determines how much space is taken up at the bottom, while the height indicates how tall the pyramid extends above this base. Multiplying the base area by the height gives you a prism's volume, but since a pyramid only occupies a third of that space, the final formula includes the factor of one-third.

The other choices provided do not accurately represent the relationship between the dimensions of a pyramid and its volume. For example, V = Bh would imply that the volume is the same as that of a prism, which does not account for the tapering nature of a pyramid. Similarly, V = 1/2Bh and V = Bh/