The air conditioning system can circulate 18.89 cubic yards per minute approximately.
Solution:
Given that , An air conditioning system can circulate 510 cubic feet of air per minute.
We have to find how many cubic yards of air can it circulate per minute
[tex]1 \text { foot }=\frac{1}{3} \text { yards }[/tex]
[tex]\text { Then, } 510 \mathrm{ft}^{3}=510 \times 1 \mathrm{ft}^{3}\\[/tex]
[tex]\begin{array}{l}{=510 \times\left(\frac{1}{3} \text { yard }\right)^{3}} \\\\ {=510 \times\left(\frac{1}{3}\right)^{3} \text { yard }^{3}} \\\\ {=510 \times \frac{1}{3^{3}} \text { yard }^{3}} \\\\ {=510 \times \frac{1}{27} \text { yard }^{3}} \\\\ {=18.89 \text { yard }^{3}}\end{array}[/tex]
Hence, the air conditioning system can circulate 18.89 cubic yards per minute approximately.
