What Is the Difference Between a Cube and A Cuboid?
Cube
A cube is a three-dimensional object with six square faces that are congruent. The dimensions of the cube’s six square faces are all the same. A cube can also be referred to as a regular hexahedron or a square prism. It is one of the platonic solids (one of five). A cube in real life can be an ice cube, a Rubik’s cube, a normal dice, and so on. Let’s start with a cube and its formulae, followed by a few solved examples and practise questions.
A cube’s form is sometimes referred to as “cubic.” A cube can also be thought of as a block because its length, width, and height are all the same. It also contains 8 vertices and 12 edges, with three of the edges meeting at one vertex point. Examine the image below and identify the faces, edges, and vertices. It’s also known as a right rhombohedron, an equilateral cuboid, and a square parallelepiped. The cube is one of the platonic solids, and it is a convex polyhedron with square faces on all sides. The cube is said to have cubical or octahedral symmetry. The square prism is a particular instance of the cube.
Properties of a Cube
Because all of the faces of a cube are square and platonic solid, it is called a particular type of square prism. A cube, like any other 3D or 2D form, has a wide range of characteristics. The properties are as follows: There are 12 edges, 6 faces, and 8 vertices in a cube. Because a cube’s faces are all square, its length, width, and height are all the same. Any two faces or surfaces have a 90° angle between them. In a cube, the opposing planes or faces are parallel to one other. In a cube, the opposite edges are parallel to one other. Each of a cube’s four faces meets the other four. A cube’s three faces and three edges are met by each of its vertices.
Cuboid
A cuboid is a solid three-dimensional form with six faces, eight vertices, and twelve edges. It is a three-dimensional form with three dimensions: length, breadth, and height that is one of the most often observed shapes around us. A cube is sometimes mistaken with a cuboid since it has some of the same features as a cuboid, but they are not the same thing. Imagine a shape that is created by stacking several congruent rectangles one on top of the other. A cuboid is the shape that results from this process. Take a look at the cuboid below, which displays its three primary dimensions: length, width, and height.
It’s worth noting that there’s no hard and fast rule on how a cuboid’s length, width (breadth), or height should be called. When a cuboid is laid flat on a table, the height represents the length of any vertical edge; the length is taken to be the bigger of the two dimensions of the cuboid’s horizontal face, and the width is taken to be the lesser of the two dimensions. The letters ‘l’ for length, ‘w’ for width (breadth), and ‘h’ for height are used to represent the measurements of a cuboid. Apart from them, a cuboid’s face is a flat surface. The vertex is a location where two or more edges meet, and the edge is the line segment joining two adjacent vertices.
Properties of a Cuboid
The key features of a cuboid make it simple to recognise one. The following are the details. A cuboid is made up of six faces, eight vertices, and twelve edges. The angles generated at the cuboid’s vertices are all right angles. A cuboid’s faces are all rectangular in form. On each face of a cuboid, two diagonals can be drawn. A cuboid’s opposing edges are parallel to one other. A cuboid’s dimensions are length, breadth, and height.
Differences
Cube – A cube’s edges (sides) are all the same size, i.e., the length, width, and height are all the same. A cube is a three-dimensional square form. A cube’s six faces are all square forms. All of the surface’s 12 diagonals are the same length. The four internal diagonals are all the same. Ice cubes, dice, and Rubik’s Cube are all examples of cubes.
Cuboid – A cuboid’s edges (sides) are not all the same size, i.e., the length, breadth, and height are not all the same. The cuboid is a rectangle in three dimensions. A cuboid’s six faces are all rectangles. It has a total of 12 diagonals. However, three of the four diagonals in the set are of different lengths. There are four internal diagonals. The two pairs, however, are of different sizes. Bricks and Duster are examples of cuboids.
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