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Calculating Total area of cubes


So far we have see how to calculate surface areas of two-dimensional figures. However, there may be cases when the object being examined is not two dimensional, such as in examining and wanting to calculate the total area taken by a box of a certain size. The approach used here is calculating the surface area of each side and then summing them all up to make up the total area.

Calculating total area of a cube

Imagine a box, every side that is visible to you has another side that is exactly the same behind it. In other words, the top has the exact same measurements as the bottom, each of the sides are exactly the same as the side on the opposite end. Thus calculating the total area of such a figure involves calculating the area of each visible side, sum them up and then multiply your result by 2.

For example surface Areas of the faces in the figure above:

Area A = l x b
= 2cm x 4cm
= 8cm2

Area B = l x b
= 6cm x 2cm
= 12cm2

Area C = l x b
= 6cm x 4cm
= 24cm2

Now that we have the surface areas of each vissible side, we can now add them up and then multiply our result by 2.

Total area = 2(Area A + Area B + Area C)
= 2(8 + 12 + 24)
= 2(44)
=88cm2



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