Math Problem Statement
Solution
To calculate the volume of the irregular solid (rock) using the image, we need to follow these steps:
-
Initial Volume (Before Rock is Submerged):
- From the left beaker, the liquid level is at 20 mL.
-
Final Volume (After Rock is Submerged):
- From the right beaker, the liquid level is at 30 mL.
-
Volume of the Rock:
- The volume of the rock is determined by the difference between the final volume and the initial volume:
Since , the volume of the rock is:
Would you like more details or have any questions?
Here are five related questions:
- What is Archimedes' principle, and how does it relate to this method?
- How can this method be applied to calculate the volume of other irregular objects?
- What other units can be used to measure volume besides mL and cm³?
- Why does the water level rise when the rock is submerged?
- What factors could affect the accuracy of this volume measurement?
Tip: Always make sure the object being measured is fully submerged to get an accurate volume using water displacement.
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Math Problem Analysis
Mathematical Concepts
Measurement
Volume Calculation
Water Displacement Method
Formulas
Volume of rock = Final volume - Initial volume
Theorems
Archimedes' Principle
Suitable Grade Level
Grades 6-8
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