Plane developments of geometric bodies (1): Nets of prisms
A right prism is a polyhedron that has two congruents pararel polygonal faces (bases of the prism) and with all remaining faces are rectangles. The main interest of this page is to see how a right prism can be developed into a plane net. There is a platonic solid that is a prism, the cube. This is a cube net: The lateral surface area of a prism is the sum of the areas of the rectangles that form the faces that are not bases of the prism. We can calculate the lateral surface area of a right prism (p is the perimeter of a base and h is the height of the prism): In the examples above bases were regular polygons. A non-regular hexagonal prism: And its plane net: Another example, plane net of a non-regular triangular prism: The formula for calculating the lateral surface area is the same as before.
Related: Mathématiques - Animations