Question

an ice cube is floating in water. the portion of the ice cube below the waters surface has a volume of 12.28 cubic centimeters and makes up 91.67% of the total volume of the ice cube. what is the volume, in cubic centimeters, of the portion of the ice cube above the waters surface?

Explanation:

Step1: Find the percentage of ice - cube above water

The portion of the ice - cube below water is 91.67% of its total volume. So the percentage of the ice - cube above water is $100\%−91.67\% = 8.33\%$.

Step2: Calculate the volume above water

Let the total volume of the ice - cube be $V$. We know that the volume of the ice - cube below water is 12.28 cubic centimeters and it is 91.67% of $V$. First, we find the total volume $V$ using the formula: If $0.9167V = 12.28$, then $V=\frac{12.28}{0.9167}\approx13.4$. Then the volume of the ice - cube above water is $0.0833\times V$. Substituting $V\approx13.4$ into the formula, we get $0.0833\times13.4\approx1.12$ cubic centimeters.

Answer:

1.12 cubic centimeters