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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