**Surface area of a cuboid** is the measure of how much exposed area a cuboid has. Surface area of a cuboid is expressed in square units. Mathematical description of the surface
area is considerably more involved than the definition of the arc length of a curve. For polyhedra (objects with flat polygonal faces) the
**surface area** is the sum of the areas of its faces.

In the above shown figure, we can see a cuboid which is of length 'l', width 'w' and height 'h'.

The formula for finding surface area of cuboid is given as shown below:

Surface area of cuboid = 2(lw + wh + hl)

where l ------> length

w ------> width

h -------> height

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Given below are some of the examples to find the surface area of a cuboid.

**Example 1:**

Find the surface area of a cuboid given l = 12 cm, h = 9 cm and w = 11 cm

**Solution:**

Surface Area of cuboid = 2(lw + wh + hl)

= 2 **( **(12x11) + (11x9) + (9x12)** )**

= 2(132 + 99 + 108)

= 2(339)

**=
678 cm ^{2}**

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**Example 2:**

Find the Surface area of Cuboid for the given length is 5 meter , width is 3 meter and height is 6 meter?

**Solution:**

**Given:**

- Length = 5 m
- Width = 3 m
- Height = 6 m

**Surface area = SA = 2 * (Length x width + Length x height + Width x height)**

= 2 * (5 x 3 + 5 x 6 + 3 x 6)

= 2 * (15 + 30 + 18)

= 2 * (63)

= 126 m^{2}

Therefore, **Surface area of cuboid is 126 square meter.**