A cube with a mass of 5.74 g occupies a volume of 1.2 cm³. The density (in g/cm³) expressed with the correct number of significant figures is ______.
4.8
To calculate the density of the cube, we use the formula:
Density \(= \frac{\text{Mass}}{\text{Volume}}\)
Given:
- Mass = 5.74 g
- Volume = 1.2 cm³
Substituting the values into the formula:
Density \(= \frac{5.74 \text{ g}}{1.2 \text{ cm}^3} \approx 4.78333 \text{ g/cm}^3\)
However, we must consider significant figures. The least number of significant figures in the given values is 2 (in 1.2 cm³). Therefore, the final answer must also have 2 significant figures. Rounding 4.78333 to two significant figures gives 4.8 g/cm³.
Therefore, the density of the cube, expressed with the correct number of significant figures, is 4.8 g/cm³.
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