To find out which object has the greatest density, we need to calculate the density for each object using the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Let's calculate the density for each object:
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Object with a mass of 8 g and a volume of 2 cm³: \[ \text{Density} = \frac{8 , \text{g}}{2 , \text{cm}^3} = 4 , \text{g/cm}^3 \]
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Object with a mass of 10 g and a volume of 4 cm³: \[ \text{Density} = \frac{10 , \text{g}}{4 , \text{cm}^3} = 2.5 , \text{g/cm}^3 \]
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Object with a mass of 6 g and a volume of 4 cm³: \[ \text{Density} = \frac{6 , \text{g}}{4 , \text{cm}^3} = 1.5 , \text{g/cm}^3 \]
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Object with a mass of 4 g and a volume of 2 cm³: \[ \text{Density} = \frac{4 , \text{g}}{2 , \text{cm}^3} = 2 , \text{g/cm}^3 \]
Now, let's summarize the densities calculated:
- Object 1: 4 g/cm³
- Object 2: 2.5 g/cm³
- Object 3: 1.5 g/cm³
- Object 4: 2 g/cm³
The object with the greatest density is the one with a mass of 8 g and a volume of 2 cm³, which has a density of 4 g/cm³.