Questions: Will your boat float with one penny? Why or why not?
Transcript text: Will your boat float with one penny? Why or why not?
Solution
Solution Steps
Step 1: Understanding the Problem
We need to determine if a boat will float with one penny on it. To do this, we need to compare the density of the boat with the density of water. If the boat's density is less than the density of water, it will float.
Step 2: Given Data
The density of the boat is given as \(0.784 \, \text{g/cm}^3\).
Step 3: Density of Water
The density of water is approximately \(1.000 \, \text{g/cm}^3\).
Step 4: Comparing Densities
Since the density of the boat (\(0.784 \, \text{g/cm}^3\)) is less than the density of water (\(1.000 \, \text{g/cm}^3\)), the boat will float.
Final Answer
\(\boxed{\text{Yes, the boat will float with one penny because its density is less than the density of water.}}\)