What is octagonal prism?

An octagonal prism is a three-dimensional solid figure that has eight faces, with the top and bottom faces being regular octagons and the remaining six faces being rectangles. It is a type of prism, which means that its two ends are identical in shape and parallel to each other, connected by straight edges.

The octagonal prism is considered a polyhedron because it is made up of flat surfaces. It is also classified as an irregular prism since one of its faces (the octagonal face) is not a regular shape.

The formula to calculate the surface area of an octagonal prism is: SA = 2lw + 8s, where l is the length of one of the rectangular faces, w is the width of one of the rectangular faces, and s is the side length of the octagonal face.

The formula to calculate the volume of an octagonal prism is: V = (1/2) * l * w * h * (1 + sqrt(2))

Octagonal prisms are commonly used in architecture and construction to create buildings, columns, and other structures with an octagonal shape. They also appear in geometric art and design as decorative elements.