Let n > 1 for an n x n x n cube for the purpose of decomposing the n x n x n cube into unit cubes (1 x 1 x 1). For the above scenario we see that decomposing an n x n x n cube into unit cubes can be thought of dividing an n x n x n cube into unit cubes. When n = 2 we get 8 unit cubes after decomposing. When n = 3 we get 27 unit cubes after decomposing.
If necessary to further your understanding I would suggest drawing a picture of a 2 x 2 x 2 cube then divide each of the six-faces by 2 both horizontally and vertically. Then draw a 3 x 3 x 3 cube and then divide each of its six-faces by 3 both horizontally and vertically. Then count the number of unit cubes for both drawings. Again, when n = 2 you should count 8 unit cubes and when n = 3 you should count 27 unit cubes.
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The net of a cube is a 2 dimensional representation of it.
It means to separate something into smaller factors.
Decompose in this situation means to break down living things into smaller pieces, and then returning the nutrients back into the soil. The same wth decomposing.
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3 x 3 x 3 = 27 27 is the cube of 3. 3 is the cube root of 27.