Quadratprismen

Quadratprismen, also known as square prisms, are three-dimensional geometric shapes. They are a type of prism where the bases are squares. A prism, in general, is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases. In the case of a quadratprisma, n is 4 and the base is a square.

The defining characteristic of a quadratprisma is its square bases. These bases are parallel to each other. The faces connecting the two bases are rectangles. If all the faces are squares, including the connecting faces, then the quadratprisma is a special case known as a cube. A quadratprisma has six faces in total: two square bases and four rectangular lateral faces. It also has twelve edges and eight vertices.

The volume of a quadratprisma is calculated by multiplying the area of its base by its height. Since the base is a square, its area is the side length squared. Therefore, the volume formula is V = s²h, where 's' is the length of a side of the square base and 'h' is the height of the prism. The surface area of a quadratprisma is the sum of the areas of its two bases and its four lateral faces. This can be expressed as SA = 2s² + 4sh.