Question

See attached pic of problem. I have to show cancelling of units and answer has to show proper number of significant figures.

Answer 1

We have that 1 cubic meter is equivalent to 1.308 cubic yards. Then, we can use a rule of three to find the value in yards of 1.37 cubic meters:

`\begin{gathered} 1m^3\rightarrow1.308yd^3 \\ 1.37m^3\rightarrow x \\ \Rightarrow x=((1.37m^2)(1.308yd^3))/(1m^3)=1.37(1.308yd^3)=1.792yd^3 \\ \Rightarrow x=1.792yd^3 \end{gathered}`

therefore, 1.37m³ is equivalent to 1.792yd³