Question

Convert 1.3ft^2 into cm^2 using the measurement conversion 1 inch= 2.54cm. Round to two decimals.

Answer 1

Recall that:

$\begin{gathered} 1ft=12in, \\ 1in=2.54\operatorname{cm}\text{.} \end{gathered}$

Then:

$1ft=12(2.54)cm=30.48\operatorname{cm}\text{.}$

Therefore:

$1ft^2=1ft\times1ft=30.48\operatorname{cm}\times30.48\operatorname{cm}=929.0304cm^2\text{.}$

Finally, we get that:

$\begin{gathered} 1.3ft^2=1.3\times929.0304cm^2 \\ \approx1207.74cm^2. \end{gathered}$

Answer:

$1207.74cm^2.$