Question

Solve each problem using dimensional analysis. evey number must have a unit. work must be shown.
Mass:
Georgio picked up a 5 pound bag of sugar at the grocery store.
a) how many ounces is the bag of sugar?

Answer 1

To convert pounds to ounces, we can use the conversion factor that 1 pound is equal to 16 ounces.

Given:
- Mass of sugar = 5 pounds

We want to convert this to ounces.

Using dimensional analysis:

\[
\text{Mass in ounces} = \text{Mass in pounds} \times \left(\frac{\text{16 ounces}}{\text{1 pound}}\right)
\]

Substituting the value:

\[
\text{Mass in ounces} = 5 \, \text{pounds} \times \left(\frac{16 \, \text{ounces}}{1 \, \text{pound}}\right)
\]

Calculating this:

\[
\text{Mass in ounces} = 5 \times 16 \, \text{ounces}
\]
\[
\text{Mass in ounces} = 80 \, \text{ounces}
\]

Thus, the bag of sugar is **80 ounces**.