Question

Compare the density of a 1,000,000 kg iceberg to that of a 10 g ice cube taken from the

iceberg. Explain your answer.

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Answer 1

The density of the 1,000,000 kg iceberg = The density of the 10 g iceberg

Step-by-step explanation:

The given quantities of iceberg that will be the basis of the comparison of the densities of the iceberg;

The mass of the iceberg = 1,000,000 kg

The mass of the ice cube taken from the iceberg = 10 g

The density of a substance, is the measure of the mass of the substance per volume of the substance, it is a constant for the substance

`Density = (Mass)/(Volume)`

For the iceberg, the density of the iceberg is the property that indicates the volume occupied by a given mass of the iceberg

Because of density, we can estimate that the volume occupied by a 1,000 kg iceberg is 10 times the volume occupied by a 100 kg iceberg

We can write

The density of the 100 kg iceberg = 100 kg/(x m³)

The density of the 1,000 kg iceberg = 1,000 kg/(10 × x m³) = 100 kg/(x m³)

Therefore, the density of the 100 kg iceberg = The density of the 1,000 kg iceberg

Similarly,

The density of the 1,000,000 kg iceberg = The density of the 10 g iceberg because the 10 g iceberg was obtained from the 1,000,000 kg iceberg, and therefore, they have the same density.