Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Calculate the following conversion:

[tex]\[
\frac{2350 \, \text{kg}}{1 \, \text{m}^3} \times \frac{2.2 \, \text{lb}}{1 \, \text{kg}} \times \frac{1 \, \text{m}^3}{35.3 \, \text{ft}^3} = \square \frac{\text{lb}}{\text{ft}^3}
\][/tex]

Sagot :

GinnyAnswer
Sure, let's go through this step by step.

1. Identify the given values and conversion factors:
- Density: [tex]\( \frac{2350 \text{ kg}}{1 \text{ m}^3} \)[/tex]
- Conversion factor from kilograms to pounds: [tex]\( 2.2 \frac{\text{lb}}{\text{kg}} \)[/tex]
- Conversion factor from cubic meters to cubic feet: [tex]\( \frac{1 \text{ m}^3}{35.3 \text{ ft}^3} \)[/tex]

2. Set up the equation using the given conversions:
[tex]\[ \frac{2350 \text{ kg}}{1 \text{ m}^3} \times \frac{2.2 \text{ lb }}{1 \text{ kg}} \times \frac{1 \text{ m}^3}{35.3 \text{ ft}^3} \][/tex]

3. Perform the multiplications and cancellations:
- First, multiply the density in kg per m³ by the conversion factor to pounds:
[tex]\[ 2350 \text{ kg/m}^3 \times 2.2 \text{ lb/kg} = 5170 \text{ lb/m}^3 \][/tex]

- Next, divide by the conversion factor to cubic feet:
[tex]\[ 5170 \text{ lb/m}^3 \times \frac{1 \text{ m}^3}{35.3 \text{ ft}^3} = \frac{5170 \text{ lb}}{35.3 \text{ ft}^3} \][/tex]

4. Calculate the final result:
- Perform the division:
[tex]\[ \frac{5170 \text{ lb}}{35.3 \text{ ft}^3} \approx 146.4589235127479 \text{ lb/ft}^3 \][/tex]

Thus, the density [tex]\( \frac{2350 \text{ kg}}{1 \text{ m}^3} \)[/tex] is approximately equal to [tex]\( 146.4589235127479 \text{ lb/ft}^3 \)[/tex].
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.