A tank in the shape of a rectangular prism has a base that is 20 cm wide and 30 cm long. The tank is partly fllIed with water. When a rock is put in the tank and sinks to the bottom, the water level in the tank goes up 2 cm. What is the volume of the rock? Explain your reasoning. See above
To find:The volume of the rock such that rock placed in the partly filled rectangular tank
Answer to Problem 1P
The volume of the rock such that rock placed in the partly filled rectangular tank
Explanation of Solution
Given information:
The rock placed in the tank raises the water level in the tank by
Calculation:
The rock is put into the tank and it sinks to bottom as a result the water level in the rectangular tank rises by
Now, the volume of the water displaced due to the submergence of rock must be equal to the volume of the rock.
Hence, the volume of the rock is
Conclusion:
The volume of the rock such that rock placed in the partly filled rectangular tank
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