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Sagot :

The smaller pieces are less dense than the larger piece that remains.

What is density?

  • The density of an object is defined as the ratio of mass to volume of an object.

The density of a substance is calculated as follows;

[tex]\rho = \frac{m}{V}[/tex]

where;

  • ρ is density
  • m is mass
  • V is volume

Since the pore volume of the rocks are the same, their densities is compared as follows;

  • Let the mass of the small pieces = m1
  • Let the mass of the larger pieces = 2m1

[tex]\rho _1 = \frac{m_1}{V} \\\\\rho_2 = \frac{2m_1}{V} \\\\\rho _2 = 2 (\frac{m_1}{V})\\\\\rho_2= 2\rho _1[/tex]

Thus, density depends on mass and the smaller pieces are less dense than the larger piece that remains.

Learn more about density here: https://brainly.com/question/6838128