A stone sculpture weighs 225 g and has a volume of 90 cm³. Calculate its density and predict whether it will float or sink in water.
Using the formula Density = Mass/Volume, we calculate the density. The density of the stone sculpture is 2.5 g/cm³.
Since the density of the sculpture (2.5 g/cm³) is greater than the density of water (approximately 1 g/cm³), the sculpture will sink.
The chapter explains that objects sink when they are denser than the liquid they are placed in.
Explanation
Using the formula Density = Mass/Volume, we calculate the density. Since the density of the sculpture (2.5 g/cm³) is greater than the density of water (approximately 1 g/cm³), the sculpture will sink. The chapter explains that objects sink when they are denser than the liquid they are placed in.
Solution Steps
Step 1: Identify the given values - Mass = 225 g, Volume = 90 cm³
Step 2: Apply the density formula: Density = Mass/Volume
Step 3: Calculate: Density = 225 g ÷ 90 cm³ = 2.5 g/cm³
Step 4: Compare with water's density (1 g/cm³): 2.5 g/cm³ > 1 g/cm³
Step 5: Conclusion: Since density of sculpture > density of water, it will sink