Surface Area of a Cuboid

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.

Surface area of a cuboid

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

 

Surface Area of a Cuboid Formula

 

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

 

Check this topic Surface Area of Cube it might be helpful to you for more help keep reading my blogs.

 

How to Find Surface Area of a Cuboid

 

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 cm2


I would like to share this how to solve word problems in algebra 2 keep reading my blogs for more. 


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 m2

Therefore, Surface area of cuboid is 126 square meter.