SOLUTION: A 10cm by 12cm rectangular container contains some water. When a solid metal cube with volume 216cm^3 is placed in the water, the water level comes up level with the top of the cu

Algebra ->  Volume -> SOLUTION: A 10cm by 12cm rectangular container contains some water. When a solid metal cube with volume 216cm^3 is placed in the water, the water level comes up level with the top of the cu      Log On


   

Question 1130137: A 10cm by 12cm rectangular container contains some water. When a solid metal cube with volume 216cm^3 is placed in the water, the water level comes up level with the top of the cube. In cm, what was the original height of the water in the container?
A)3.8 B)4.25 C)4.5 D)3.9 E)4.2
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Notice that the side of the cube is  root%283%2C216%29 = 6 cm long.


Let  H  be the original level of the water in the container.


Then the balance equation for the volume is


    10*12*6 = 10*12*H + 216    cubic centimeters,    <<<---===  This formula is self-explanatory


which gives you the solution  


    H = %2810%2A12%2A6-216%29%2F%2810%2A12%29 = 4.2 cm.    ANSWER

The answer is the option E).

Solved.

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If you want to see many other similar solved problems,  look into the lesson
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