Math Problem Statement
Solution
The question from the image asks you to find the density of an object based on the mass and the volume displacement in water.
Steps:
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Given:
- Mass of the object = 124 g.
- Initial water level in a graduated cylinder = 53 mL.
- Final water level after placing the object = 71 mL.
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Volume of the object:
- The volume of the object is the difference between the final and initial water levels.
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Density formula:
Answer: The density of the object is 6.89 g/mL.
Would you like a detailed explanation of these steps or further clarifications?
Here are 5 related questions for further practice:
- If the mass of the object were 150 g but the volume displacement remained the same, what would be the new density?
- How would you find the density of an irregular object without using water displacement?
- What would happen to the density if the object’s volume increased but its mass stayed the same?
- Why is the unit for density often g/mL for liquids and solids?
- What are the implications of an object having a density greater than 1 g/mL in water?
Tip: When calculating density using water displacement, always ensure the volume readings are accurate to avoid significant errors in the final density calculation.
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Math Problem Analysis
Mathematical Concepts
Density
Volume displacement
Mass
Formulas
Density = Mass / Volume
Theorems
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Suitable Grade Level
Grades 6-8
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