Diagonal of Cube Formula

Diagonal of the cube is the longest straight line that is drawn inside a cube. It is a dime of two joints two opposite vertices of the cube that are not in the same plane. A cube can have two diagonals, i.e.

  • Body Diagonal
  • Face Diagonal

The image added below shows the diagonal of the cube.

Body Diagonal

The body diagonal also called the main diagonal of the cube is a straight line that joints the two opposite vertices of the cube that are not on the same plane. It depends on the side of the cube and is directly proportional to it. This diagonal of the cube passes through its centre. If the side of the cube is “a”. Then its diagonal is calculated using

Diagonal of a Cube = &#x221a3a

Face Diagonal

The Face diagonal of the cube is a straight line that joints the two opposite vertices of the cube that are on the same plane. It passes through the face of the cube and hence the name Face Diagonal. It depends on the side of the cube and is directly proportional to it. This diagonal of the cube passes through the centre of the face of the cube. If the side of the cube is “a”. Then its face diagonal is calculated using

Face Diagonal of a Cube = &#x221a2a

The diagonal of the cube is calculated using Pythagoras’ theorem and is measured in m, cm, etc.

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Surface Area of a Cube Formula

Cube Formulas as the name suggest are all the formulas of a cube to calculate its volume, surface areas and diagonal. A cube is a three-dimensional figure that has equal length, breadth, and height. It is a special case of cuboid and is widely observed in our daily life. The most common example of the cube is the Rubick’s Cube puzzle. A cube has various formulas but the important formulas of the cube are,

  • Volume of Cube Formula = a3
  • Surface Area of Cube Formula = 6a2
  • Diagonal of Cube Formula = &#x221a3a

where “a” is the side of the cube and is measured in the unit of length.

In this article, we will learn about various cube formulas, their examples, and others in detail.

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