Today's post is more related to mathematics, as you can tell from the title. I'll be telling you about the amazing solid shape, the octahedron. WHAT YOU WILL LEARN TODAY : We will have found- -->The derivation of the formula for the volume of the octahedron. -->The ratio of the volume of an octahedron when placed inside a cube with its vertices touching the centers of the faces of the cube and the volume of the cube. So! Let's begin! You will have to understand platonic solids first. PLATONIC SOLIDS: Platonic solids are five geometric solids that have congruent and regular sides that meet at three-dimensional angles. Plato used them to explain the structure of the universe. Hence, the name 'Platonic'. There are five Platonic solids: the tetrahedron with four faces, the cube with six faces, the octahedron with eight faces, the dodecahedron with twelve faces, and the icosahedron with twenty faces. They are used in many fields, including biomedical rese...
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