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A cuboid is a three-dimensional figure bounded by six rectangular surfaces.

Properties of cuboid:

**1**. The three dimensions of the cuboid are length \((l)\) units, breadth \((b)\) units and height \((h)\) units.

**2**. It has six rectangular faces.

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

**4**. Opposite sides of the cuboid 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

\(= (l \times h)\) \(+ (l \times h)\) \(+ (b \times h)\) \(+ (b \times h)\)

\(= 2 (l \times h)\) \(+ 2(b \times h)\)

\(= 2 (l \times h\) \(+ b \times h)\)

\(= 2 (l + b)h\)

**Lateral surface area of the cuboid**\(=\) \(2 (l + b)h\) 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

\(= (l \times b)\) \(+ (l \times b)\) \(+ (b \times h)\) \(+ (b\times h)\) \(+ (l \times h)\) \(+ (l \times h)\)

\(= 2(l \times b)\) \(+ 2(b \times h)\) \(+ 2(l \times h)\)

\(= 2(lb + bh + lh)\)

**Total surface area of the cuboid**\(=\) \(2 (lb + bh + lh)\) sq. units.

Important!

The top and bottom area in a cuboid is independent of height. The total area of the top and the bottom is \(2lb\).

Hence \(L. S. A.\) is obtained by removing \(2lb\) from \(2(lb+bh+lh)\).