The surface area is the total area of all the faces.
For a cuboid, all these faces will be rectangular.
Example:
Find the surface area of a 2 x 4 x 5 cm cuboid.
The area of the faces will be:
2 x 4 = 8 cm2
2 x 5 = 10 cm2
4 x 5 =20 cm2
Adding these up give an area of 38 cm2.
However we now need to multiply our answer by 2 as there are exactly two of each face.
So our final answer is 38 x 2 = 76 cm2.
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derivation of surface area of cuboid
The surface area of a box, which is a cuboid, depends on its length, width and height. A cube is a special type of cuboid in which the length , width and height are all the same.
Lateral surface area of a cuboid = 2 (Length + Breadth) × Height Lateral surface area of a cube = 4 × Side2
A cuboid is a 3 dimensional object and 3 measures are required for the total surface area of a cuboid.
Volume of a cuboid = cross-section area times its length