Respuesta :

Taking into account the definition of density, the mass of ice is 198,773.6004 kg.

Definition of density

Density is a quantity that allows us to measure the amount of mass in a certain volume of a substance. Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

density= mass÷ volume

From this expression it can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.

Mass of ice

In this case, you know that:

  • Density of ice= 0.917 g/cm³
  • Volume= 7655 ft³≅ 2.1677×10⁸ cm³ (being 1 ft³= 28316.8 cm³)

Replacing in the definition of density:

0.917 g/cm³= mass÷ 2.1677×10⁸ cm³

Solving:

mass= 0.917 g/cm³ ×2.1677×10⁸ cm³

mass= 198,773,600.4 g= 198,773.6004 kg

In summary, the mass of ice is 198,773.6004 kg.

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