) A lake has a layer of ice on its surface. The area of the lake is 1800 m2 . The ice has a thickness of 0.025 m. The density of ice is 920 kg / m3 . Calculate the mass of ice on the lake.
Question
) A lake has a layer of ice on its surface. The area of the lake is 1800 m2 . The ice has a thickness of 0.025 m. The density of ice is 920 kg / m3 . Calculate the mass of ice on the lake.
Solution
To calculate the mass of ice on the lake, we can use the formula:
Mass = Volume x Density
Step 1: Calculate the volume of the ice. The volume of the ice can be calculated using the formula:
Volume = Area x Thickness
Given that the area of the lake is 1800 m^2 and the thickness of the ice is 0.025 m, we can substitute these values into the formula:
Volume = 1800 m^2 x 0.025 m Volume = 45 m^3
Step 2: Calculate the mass of the ice. Now that we have the volume of the ice, we can calculate the mass using the formula:
Mass = Volume x Density
Given that the density of ice is 920 kg/m^3, we can substitute these values into the formula:
Mass = 45 m^3 x 920 kg/m^3 Mass = 41400 kg
Therefore, the mass of ice on the lake is 41400 kg.
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