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Why the surface area of aggregate increases as the particle size decreases?

The increase in surface area with the decrease in aggregate particle size is demonstrated below:

(a) (b) (c)

Figure (a) shows: one 25.0 mm cube of aggregate [surface area= 6 x 25.0 x 25.0 = 3750 mm² ]

Figure(b) shows: eight 12.5 mm cubes of aggregate [surface area= 6 x 12.5 x 12.5 x 8 = 7500 mm²] and

Figure(c)shows: sixty-four 6.25 mm cubes of aggregate [surface area= 6 x 6.25 x 6.25 x 64 = 15,000 mm²

If a large coarse aggregate particle is reduced to fine sand size particles, the same volume would have a surface area about 100 times greater than that of the original cube.

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