What is the formula for calculating the volume of a prism or cylinder?

The formula for calculating the volume of a prism or cylinder is represented by ( V = Bh ). In this formula, ( V ) stands for volume, ( B ) is the area of the base of the prism (or cylinder), and ( h ) is the height of the prism (or cylinder).

To understand why this formula works, consider that the volume measures how much space is occupied within a three-dimensional shape. For prisms and cylinders, the volume is found by multiplying the area of the base by the height. This relationship essentially stacks the base area vertically ( h ) times, which accumulates the volume throughout the entire height of the shape.

The other formula choices do not apply to the volume of prisms or cylinders. For example, the formula ( V = \frac{4}{3}\pi r^3 ) calculates the volume of a sphere, while ( V = \frac{1}{2}ab\sin C ) is used for finding the area of a triangle based on two sides and the included angle. The equation ( V = d \times s \times t ) is not a standard volume formula in geometry.

This emphasizes that ( V = Bh ) is specifically