Solve each problem using dimensional analysis. evey number must have a unit. work must be shown.

Question

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.