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.
Find the surface area of a cuboid given l = 12 cm, h = 9 cm and w = 11 cm
Surface Area of cuboid = 2(lw + wh + hl)
= 2 ( (12x11) + (11x9) + (9x12) )
= 2(132 + 99 + 108)
= 678 cm2
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Find the Surface area of Cuboid for the given length is 5 meter , width is 3 meter and height is 6 meter?
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 m2
Therefore, Surface area of cuboid is 126 square meter.