What is a Cube in Maths?

Cube is a 3D solid shape with six square faces with all 12 sides of equal length. A cube can be considered a special cuboid where all the length, breadth, and height are equal. A cube is a special case of a square prism having six square faces, eight vertices, and twelve edges.

We see various shapes in our daily lives that resemble the cube. Such as a 3×3 Rubik’s Cube a puzzle famous among many, is an example of a cube. The image added below shows a cube along with its faces, edges, and vertices.

Cube Definition in Maths

A cube is a three-dimensional geometric shape characterized by six equal square faces, twelve equal edges, and eight vertices (corners). Each of its six faces is a square, and all the angles between the faces are right angles (90 degrees).

Studying, the above figure, we conclude that two faces of cube have a common boundary called edge of cube and there are twelve (12) edges of cube, similarly on observing figure closely we conclude that a cube has six (6) faces and eight (8) vertices.

Cube – Definition, Shape & Formula

Cube – Definition, Shape & Formula: A Cube is a solid or hollow three-dimensional form of a square that has six square faces, eight vertices, and twelve edges. Some examples of cubes that we see regularly are sugar cubes, ice cubes, Rubik’s cubes, etc. The length, breadth, and height of a cube are the same as each face of a cube is a square. 

A cube is also known as an equilateral cuboid, a square parallelepiped, or a right rhombic hexahedron and is one of the five platonic solids.

In this article, we will discuss what is a cube, cube shape, formulas related to cubes, properties, and examples.

Table of Content

  • What is a Cube in Maths?
    • Cube Definition in Maths
  • Cube Shape
    • Cube Examples
  • Properties of Cube
  • Faces, Edges and Vertices in Cube
    • Cube Faces
    • Cube Edges
    • Cube Vertices
    • Euler’s Formula in Cube
  • Net of Cube
  • Cube Formula
  • Diagonal of Cube
  • Surface Area of a Cube
    • Lateral Surface Area of Cube
    • Total Surface Area of Cube
  • Volume of Cube
  • Cube – Important Facts
  • Cube Examples
  • Practice Questions : Cube – Definition, Shape & Formula

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What is a Cube in Maths?

Cube is a 3D solid shape with six square faces with all 12 sides of equal length. A cube can be considered a special cuboid where all the length, breadth, and height are equal. A cube is a special case of a square prism having six square faces, eight vertices, and twelve edges....

Cube Shape

Cube shape is one of the fundamental shapes of mathematics and is observed very often in our daily lives. We can assume the cube is a polyhedron with equal length, breadth, and height. It can be easily stacked on one over another without leaving any spaces. We say about a cube that,...

Properties of Cube

A cube is a 3D figure with equal dimensions having various properties. Some of the properties of the cube are,...

Faces, Edges and Vertices in Cube

There are Six Faces, Tweleve Edges and Eight Vertices in a Cube...

Euler’s Formula in Cube

Euler’s Formula gives the relation between Faces, Edges and Vertices of a Polyhedron. Let’s verify the same for a cube. According to Euler’s Formula we know that...

Net of Cube

A cube is a 3-D figure and a figure in 2-D that can be folded easily to form the cube is called the net of a cube. Thus, we can say that the two-dimensional form of a cube that can be folded to form a three-dimensional form is called a net of a cube....

Cube Formula

There are various formulas that are helpful to find various dimensions of cube, that include length of its diagonal, its surface area, its volume, etc. various cube formulas discussed in article are,...

Diagonal of Cube

Diagonal of a cube is the line segment that joins the opposite vertices of the cube. A cube has two types of diagonals, i.e., a face diagonal and a main diagonal....

Surface Area of a Cube

Area of any object is space occupied by all the surfaces of that object. It can be defined as the total surface available for the painting. A cube has six faces and so its surface area is calculated by finding the area of the individual face and finding its sum....

Lateral Surface Area of Cube

Lateral Surface Area of a cube is the sum of the areas of all the faces of a cube, excluding its top and bottom. In simple words, the sum of all four side faces of a cube is the lateral surface area of a cube. It is measured in square units such as (units)2, m2, cm2, etc....

Total Surface Area of Cube

Total Surface Area of a cube is the space occupied by it in three-dimensional space and is equal to the sum of the areas of all its sides. It is measured in square units such as (units)2, m2, cm2, etc....

Volume of Cube

Volume of a cube is the amount of space enclosed by the cube. It is usually measured in terms of cubic units. It is measured in cube units such as (units)3, m3, cm3, etc....

Cube – Important Facts

The various important facts related to cube are mentioned below:...

Cube Examples

Example 1: Find the total surface area of a cube if the length of its side is 8 units....

Practice Questions: Cube – Definition, Shape & Formula

Try out following practice questions on Cube Formula...

Conclusion of Cube

The cube is a geometric shape that has intrigued mathematicians, engineers, and artists for centuries. Its symmetrical properties and uniformity make it a versatile and practical tool in various fields, from architecture to mathematics. By understanding the properties and applications of cubes, we gain insight into the world of geometry and its relevance in everyday life. So, whether you’re building structures, solving puzzles, or exploring mathematical concepts, the cube remains an essential and intriguing element to study and appreciate....

What is Cube – FAQs

What is a Cube?...