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 the ice - cube above water

The portion of the ice - cube below water is 91.67%. So the portion of the ice - cube above water is \(100\%−91.67\% = 8.33\%\).

Step2: Calculate the volume of the ice - cube 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 \(\text{Volume below water}=V\times91.67\%\), so \(V=\frac{12.28}{0.9167}\approx13.4\) cubic centimeters. Then the volume of the ice - cube above water is \(V_{above}=V\times8.33\%\). Substituting \(V = \frac{12.28}{0.9167}\) into the formula, we get \(V_{above}=\frac{12.28}{0.9167}\times0.0833\).
\[V_{above}=12.28\times\frac{0.0833}{0.9167}=12.28\times\frac{8.33}{91.67}\approx1.13\] cubic centimeters.

Answer:

1.13 cubic centimeters