To determine which item has the lowest density, we can use the formula for density:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Let's calculate the density for each of the given items.
A. A 6 cm³ block of ice with a mass of 4 grams: \[ \text{Density}_A = \frac{4 \text{ g}}{6 \text{ cm}^3} = \frac{4}{6} \approx 0.67 \text{ g/cm}^3 \]
B. A 12 cm³ block of wood with a mass of 3 grams: \[ \text{Density}_B = \frac{3 \text{ g}}{12 \text{ cm}^3} = \frac{3}{12} = 0.25 \text{ g/cm}^3 \]
C. A 12 cm³ block of aluminum with a mass of 2 grams: \[ \text{Density}_C = \frac{2 \text{ g}}{12 \text{ cm}^3} = \frac{2}{12} \approx 0.17 \text{ g/cm}^3 \]
D. A 2 cm³ block of lead with a mass of 11 grams: \[ \text{Density}_D = \frac{11 \text{ g}}{2 \text{ cm}^3} = \frac{11}{2} = 5.5 \text{ g/cm}^3 \]
Now we can compare the calculated densities:
- Density of ice: 0.67 g/cm³
- Density of wood: 0.25 g/cm³
- Density of aluminum: 0.17 g/cm³
- Density of lead: 5.5 g/cm³
The lowest density is of option C: Aluminum, which has a density of approximately 0.17 g/cm³.
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