What is the surface area and volume calculation for a prism based on?

The calculation of the surface area and volume of a prism is based on specific mathematical principles that are used to determine both properties accurately. The surface area of a prism involves adding the areas of all its faces. Since a prism consists of two parallel bases and rectangular lateral faces connecting those bases, the overall surface area is obtained by calculating the area of the base and the areas of the lateral faces.

For the volume of a prism, the formula V = B•h is used, where B represents the area of the base, and h is the height of the prism. This formula reflects the three-dimensional nature of the prism, where the volume is essentially the area of the base extending vertically over the height.

This understanding is fundamental for calculating these measurements for any prism, as it clearly establishes the method for deriving both the total surface area and the volume through systematic geometric principles.