The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices. A truly unique and interactive toy, the Magic Prism Cube will keep children and adults engaged and entertained for hours. Beautiful gift that is educational and a great decoration. max { | x − x 0 | , | y − y 0 | , | z − z 0 | } = a . {\displaystyle \max\{|x-x_{0}|,|y-y_{0}|,|z-z_{0}|\}=a.} The cube can also be represented as a spherical tiling, and projected onto the plane via a stereographic projection. This projection is conformal, preserving angles but not areas or lengths. Straight lines on the sphere are projected as circular arcs on the plane.

As the volume of a cube is the third power of its sides a × a × a {\displaystyle a\times a\times a} , third powers are called cubes, by analogy with squares and second powers. A cube has the largest volume among cuboids (rectangular boxes) with a given surface area. Also, a cube has the largest volume among cuboids with the same total linear size (length+width+height). In analytic geometry, a cube's surface with center ( x 0, y 0, z 0) and edge length of 2a is the locus of all points ( x, y, z) such that If you’ve got a child who is learning all about the power of light and it’s ability to reflect and refract, this prism cube is going to be a beautiful creation that will fascinate your child in its look but also its features in learning how it works.Instant Photography Filter: It is a great addition to your photography accessories, making your pictures unique without any post-editing magic. Say goodbye to your favorite filters! Premium, Long-Lasting Quality: All sides of the cube refracts light for more color combinations. The glass panels do not fade easily and are scratch-resistant, guaranteeing a maximized use for the years to come.

A cube can also be considered the limiting case of a 3D superellipsoid as all three exponents approach infinity. The cube is also a square parallelepiped, an equilateral cuboid, a right rhombohedron, and a 3- zonohedron. It is a regular square prism in three orientations, and a trigonal trapezohedron in four orientations. To find the volume of a rectangular box use the formula height x width x length, as seen in the figure below: The volume formula for a cylinder is height x π x (diameter / 2) 2, where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is height x π x radius 2. Visual in the figure below: Great Science Experiment: In creating wonderful colors through beam splitting and light refraction, it is perfect in sharing knowledge and educating people on how a prism works. Make science easier to understand using this product, both for kids and adults!To calculate the volume of a box or rectangular tank you need three dimensions: width, length, and height. They are usually easy to measure due to the regularity of the shape. By designating one dimension as the rectangular prism's depth or height, the multiplication of the other two gives us the surface area which then needs to be multiplied by the depth / height to get the volume. To calculate the volume of a tank of a different shape, use our volume of a tank calculator. Volume of a cylinder displaystyle {\begin{bmatrix}{\begin{matrix}8&3&3\\2&12&2\\4&4&6\end{matrix}}\end{bmatrix}}} Equation in three dimensional space [ edit ] The cube has four special orthogonal projections, centered, on a vertex, edges, face and normal to its vertex figure. The first and third correspond to the A 2 and B 2 Coxeter planes. It has been suggested that Sum of two cubes be merged into this article. ( Discuss) Proposed since November 2023.