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A Cube is a solid three-dimensional shape with six square faces, eight vertices, and twelve edges in mathematics or geometry. It’s also a normal hexahedron, according to legend. You’ve probably seen the 3 3 Rubik’s cube, which is the most common example in real life and can help you improve your mental power. Similarly, many real-life examples, such as 6 sided dice, will be encountered. Solid geometry is concerned with three-dimensional figures and objects with surface areas and volumes. Cuboid, cylinder, cone, and sphere are the other solid shapes. We’ll go through its concept, qualities, and importance in mathematics.
Definition of Cube
A cube, as previously stated, is a three-dimensional object.
a solid form with six faces In three-dimensional space, a cube is one of the most basic shapes. A cube’s six faces are all squares, which is a two-dimensional shape.
Cube Form
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 octahedral or cubical symmetry. The cube is a variant of the square prism.
Cube Surface Area and Volume Formula
The cube’s surface area and volume are addressed below:
Cube’s Surface Area
We know that the area of any shape is defined as the plane region it occupies. Because a cube is a three-dimensional object, the area it occupies will be in a three-dimensional plane. We must compute the surface area of the cube covered by each face because a cube has six faces. The formula for calculating surface area is given below.
Assume that an is the cube’s edge.
a2 is the area of one face divided by the area of a square.
The cube has six square-shaped faces, as we know.
Area of one face minus lateral surface area (excluding top and bottom faces) = 4
LSA = 4a2
LSA + top and bottom face area = total surface area
TSA = 4a2 + a2 + a2
TSA = 6a2
Cube’s Volume
The space contained in the cube is its volume. For example, if an object is cubical in shape and we need to submerge any material in it, such as water, the volume of water to be preserved in the object is determined. The volume formula is as follows:
a3 cubic units = cube volume.
Cube Characteristics
The following are some of the most essential cube properties:
It has a square form to all of its faces.
All of the faces or sides are the same size.
The cube’s plane angles are all right angles.
Each face interacts with the other four.
The three faces and three edges meet at each of the vertices.
The edges on opposite sides are parallel.
What is the difference between a square and a cube?
The most significant distinction between the square and the cube is that the square is a two-dimensional figure with only two dimensions: length and breadth, but the cube is a three-dimensional shape with three dimensions: length, breadth, and height. The cube is made from a square shape.
Conclusion
Cube is a solid three-dimensional shape with six square faces, eight vertices, and twelve edges in mathematics or geometry.
It’s also a normal hexahedron, according to legend. You’ve probably seen the 3× 3 Rubik’s cube, which is the most common example in real life and can help you improve your mental power. Similarly, many real-life examples, such as 6 sided dice, will be encountered.
Solid geometry is concerned with three-dimensional figures and objects with surface areas and volumes. Cuboid, cylinder, cone, and sphere are the other solid shapes. We’ll go through its concept, qualities, and importance in mathematics.
