Math Problem Statement
Solution
To solve the question regarding the density of the object, we can use the formula for density:
From the image, we know:
- The mass of the object is 100 g.
- The water level initially is at 50 cm³.
- After the object is immersed, the water level rises to 90 cm³.
So, the volume displaced by the object is:
Now, applying the density formula:
Thus, the correct answer is 2.5 g/cm³, as indicated.
Would you like a further breakdown of this solution or details on a related concept?
Here are 5 related questions you might find interesting:
- How would the density change if the mass were halved but the volume stayed the same?
- How does the concept of buoyancy relate to the object's density compared to water?
- Can an object with the same volume but a higher mass have a lower density?
- What happens to the water level if an object less dense than water is placed in it?
- How is the Archimedes' principle applied in this scenario?
Tip: To confirm whether an object will float or sink in water, compare its density to that of water (1 g/cm³). If it's less than 1, the object will float; otherwise, it will sink.
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Math Problem Analysis
Mathematical Concepts
Density
Volume displacement
Mass
Division
Formulas
Density = Mass / Volume displaced
Theorems
Archimedes' principle (related to volume displacement)
Suitable Grade Level
Grades 7-9
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