Question

an ice cube is floating in water. the portion of the ice cube below the waters surface has a volume of 128 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 the total volume. So the percentage of the ice - cube above water is $100\%−91.67\% = 8.33\%$.

Step2: Calculate the volume above water

The total volume of the ice - cube is 128 cubic centimeters. To find the volume of the part above water, we use the formula $V_{above}=V_{total}\times p_{above}$, where $V_{total}$ is the total volume of the ice - cube and $p_{above}$ is the percentage of the ice - cube above water (expressed as a decimal). $p_{above}=0.0833$ and $V_{total} = 128$ cubic centimeters. So $V_{above}=128\times0.0833=\frac{128}{12}\approx10.67$ cubic centimeters.

Answer:

10.67 cubic centimeters