Question

Use the table, along with dimensional analysis to convert the given square unit indicated.

14cm^2 to in^2

Answer 1

To convert 14 cm² to in² using dimensional analysis, we can use the following conversion factors:

1 cm = 0.393701 in (exact conversion factor)

1 in = 2.54 cm (exact conversion factor)

We want to convert cm² to in², so we need to use the conversion factor that relates cm² to in². This is:

1 cm² = (0.393701 in)² = 0.15500031 in² (approximate conversion factor)

To set up the dimensional analysis, we start with the given quantity and multiply it by the appropriate conversion factors so that the units cancel out and we are left with the desired units. We can set it up as follows:

14 cm² * (0.15500031 in² / 1 cm²) = 2.17000434 in² (approximate answer)

Therefore, 14 cm² is approximately equal to 2.17000434 in².