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Cube is a special type of cuboid whose length, breadth and height are all equal.

Properties of cube:

**1**. Length, breadth and height all are equal.

**2**. Each edge of the cube is \(a\) units.

**3**. It has six square faces.

**4**. All the vertices are right angle.

**5**. Opposite sides of the cube are parallel and congruent to each other.

Lateral surface area:

\(L. S. A.\) \(=\) Area of front side \(+\) Area of back side \(+\) Area of left side \(+\) Area of right side

\(= (a \times a) + (a \times a) + (a \times a) + (a \times a)\)

\(= a^2 + a^2 + a^2 + a^2\)

\(= 4a^2\)

**Lateral surface area of the cube**\(= 4a^2\) sq. units.

Total surface area:

\(T. S. A.\) \(=\) Area of top side \(+\) Area of bottom side \(+\) Area of left side \(+\) Area of right side \(+\) Area of front side \(+\) Area of back side

\(= (a \times a) + (a \times a) + (a \times a) + (a \times a) + (a \times a) + (a \times a)\)

\(= a^2 + a^2 + a^2 + a^2 + a^2 + a^2\)

\(= 6a^2\)

**Total surface area of the cube**\(= 6a^2\) sq. units.

Important!

Total surface area is also called a surface area.