Find the volume in m3 of a metal bar if the bar has a mass of 48 kg and the density of the bar is 7.3 g/cm3.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem:**  
Find the volume in m³ of a metal bar if the bar has a mass of 48 kg and the density of the bar is 7.3 g/cm³.

**Solution:**  
To find the volume of the metal bar, we can use the formula:

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

**Given:**  
- Mass = 48 kg  
- Density = 7.3 g/cm³  

**Steps:**  
1. First, convert the mass from kilograms to grams:  
   \[ 48 \, \text{kg} = 48,000 \, \text{g} \]

2. Use the formula to find the volume:  
   \[ \text{Volume} = \frac{48,000 \, \text{g}}{7.3 \, \text{g/cm}^3} \]

3. Calculate the volume in cm³:  
   \[ \text{Volume} \approx 6575.34 \, \text{cm}^3 \]

4. Convert the volume from cm³ to m³:  
   \[ 6575.34 \, \text{cm}^3 = 0.00657534 \, \text{m}^3 \]

**Result:**  
The volume of the metal bar is approximately 0.006575 m³.
Transcribed Image Text:**Problem:** Find the volume in m³ of a metal bar if the bar has a mass of 48 kg and the density of the bar is 7.3 g/cm³. **Solution:** To find the volume of the metal bar, we can use the formula: \[ \text{Volume} = \frac{\text{Mass}}{\text{Density}} \] **Given:** - Mass = 48 kg - Density = 7.3 g/cm³ **Steps:** 1. First, convert the mass from kilograms to grams: \[ 48 \, \text{kg} = 48,000 \, \text{g} \] 2. Use the formula to find the volume: \[ \text{Volume} = \frac{48,000 \, \text{g}}{7.3 \, \text{g/cm}^3} \] 3. Calculate the volume in cm³: \[ \text{Volume} \approx 6575.34 \, \text{cm}^3 \] 4. Convert the volume from cm³ to m³: \[ 6575.34 \, \text{cm}^3 = 0.00657534 \, \text{m}^3 \] **Result:** The volume of the metal bar is approximately 0.006575 m³.
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