1 answer
(click or scroll down)
Bot GPT 4-o mini To solve for the mass of the 5-pound bag of sugar in ounces and kilograms using dimensional analysis, we will use conversion factors.
**Part a: Converting pounds to ounces**
1. Start with the given mass:
\[
5 \text{ lb}
\]
2. Use the conversion factor that \(1 \text{ lb} = 16 \text{ oz}\).
3. Set up the dimensional analysis:
\[
5 \text{ lb} \times \frac{16 \text{ oz}}{1 \text{ lb}} = 80 \text{ oz}
\]
Thus, the bag of sugar weighs **80 ounces**.
---
**Part b: Converting pounds to kilograms**
1. Start with the given mass:
\[
5 \text{ lb}
\]
2. Use the conversion factor that \(1 \text{ lb} \approx 0.453592 \text{ kg}\).
3. Set up the dimensional analysis:
\[
5 \text{ lb} \times \frac{0.453592 \text{ kg}}{1 \text{ lb}} = 2.26796 \text{ kg}
\]
Rounding to a reasonable number of significant figures (assuming 2 decimal as the input might suggest), the bag of sugar weighs approximately **2.27 kilograms**.
---
### Summary:
- The 5-pound bag of sugar is **80 ounces**.
- The 5-pound bag of sugar is approximately **2.27 kilograms**.