The density of a substance is equal to the quotient of its mass and its volume. What is the mass, in kilograms, of a liquid whose density is \( 14.2 \mathrm{~g} / \mathrm{cm}^{3} \) if its volume is equal to \( 6 \mathrm{~L} ?\left(1 \mathrm{~mL}=1 \mathrm{~cm}^{3}\right) \) (grid-in)

To find the mass of the liquid, you can use the formula for density, which is density equals mass divided by volume. Rearranging the formula gives us mass = density × volume. First, convert the volume from liters to cubic centimeters: \( 6 \, \text{L} = 6000 \, \text{cm}^3 \). Now, substituting the values: \( \text{mass} = 14.2 \, \text{g/cm}^3 \times 6000 \, \text{cm}^3 = 85200 \, \text{g} \). To convert grams to kilograms: \( 85200 \, \text{g} = 85.2 \, \text{kg} \). Voila! The mass of the liquid is \( 85.2 \, \text{kg} \). But wait, there's more! Density has a fascinating history. It was first mathematically described by the ancient Greeks. Archimedes famously demonstrated the concept of buoyancy and density over 2,000 years ago, proving that the weight of the water displaced by an object is equal to the weight of the object itself. This principle still forms the basis for many scientific applications today! And speaking of applications, density plays a crucial role in various fields from engineering to environmental science. For instance, in designing ships, understanding the density of materials helps ensure that vessels float rather than sink. Similarly, in chemistry and biology, accurately measuring density is essential for solutions and mixtures, enabling scientists to predict reactions and behaviors of substances in different states.