Question

Can someone please explain how to do unit conversions?
I understand how to convert things when nothing is squared. But I get confused when something is squared.

Answer 1

I understand how to convert metres to feet, and meters per second to kilometers per minute etc etc.
What I get confused with is when a question asks to convert something from \[dollars / m^{2}\] to\[dollars/yard^{2}\]
or from something like mL to L^2
etc.
I am never too sure what I should be doing with the squared sign! Someone explain please?

Answer 2

for example ; convert \(1[\text{cm}]^3\) to \([\text{m}]^3\)

Answer 3

\[1[\text{cm}]^3=\big(10^{-2}[\text{m}\big])^3=10^{-6}[\text{m}]^3\]

Answer 4

\[6\,[$/\text{yd}^2]=6\,[$/\text{yd}^2]\times\big(1\big)^2\]

\[=6\,[$/\text{yd}^2]\times\big(1.09[\text{yd}/\text m]\big)^2\]
\[=6\,[$/\text{yd}^2]\times1.09^2[\text{yd}^2/\text m^2]\]
\[=6\times1.09^2\,[$/\text m^2]\]