To find the density of each object, we use the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Let's calculate the density for each object:
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Object with mass 6 g and volume 4 cm³: \[ \text{Density} = \frac{6 \text{ g}}{4 \text{ cm}^3} = 1.5 \text{ g/cm}^3 \]
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Object with mass 10 g and volume 4 cm³: \[ \text{Density} = \frac{10 \text{ g}}{4 \text{ cm}^3} = 2.5 \text{ g/cm}^3 \]
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Object with mass 4 g and volume 2 cm³: \[ \text{Density} = \frac{4 \text{ g}}{2 \text{ cm}^3} = 2.0 \text{ g/cm}^3 \]
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Object with mass 8 g and volume 2 cm³: \[ \text{Density} = \frac{8 \text{ g}}{2 \text{ cm}^3} = 4.0 \text{ g/cm}^3 \]
Now, let's compare the densities calculated:
- The first object has a density of 1.5 g/cm³.
- The second object has a density of 2.5 g/cm³.
- The third object has a density of 2.0 g/cm³.
- The fourth object has a density of 4.0 g/cm³.
From these calculations, the object with a mass of 8 g and a volume of 2 cm³ has the greatest density:
\[ \text{Greatest Density} = 4.0 \text{ g/cm}^3 \]