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To find the volume of the pentagonal prism, we can use the relationship between density, mass, and volume, which is:

\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]

Rearranging for volume, we get:

\[
\text{Volume} = \frac{\text{Mass}}{\text{Density}}
\]

### Given:
- Mass (\(m\)) = 3743 g
- Density (\(d\)) = 15.86 g/cm³

Substituting the values:

\[
\text{Volume} = \frac{3743}{15.86}
\]

Performing the division:

\[
\text{Volume} \approx 236 cm³
\]

### Final Answer:
The volume of the prism is approximately **236 cm³**.

Would you like me to explain further or assist with related calculations? 

Here are five related questions to consider:
1. How do you calculate the surface area of a pentagonal prism?
2. What is the importance of understanding the relationship between density, mass, and volume?
3. How do you find the area of a pentagonal base if the height and volume are given?
4. Can you calculate the volume if the prism was hollow with a specified thickness?
5. What units are commonly used for density in different scenarios?

**Tip:** Always ensure your units for mass, volume, and density are consistent when solving such problems.

How do you find the volume of a pentagonal prism given its mass and density?

Learn how to calculate the volume of a pentagonal prism when given its mass and density. This step-by-step solution covers the relationship between mass, density, and volume, using a mass of 3743g and a density of 15.86g/cm³ to find a volume of approximately 236 cm³. Suitable for students in Grades 8-10.

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