Question

An air conditioning system can circulate 510

cubic feet of air per minute. How many cubic yards of air can it circulate per​ minute?

Answer 1

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

`1 \text { foot }=(1)/(3) \text { yards }`

`\text { Then, } 510 \mathrm{ft}^(3)=510 * 1 \mathrm{ft}^(3)\\`

`\begin{array}{l}{=510 *\left((1)/(3) \text { yard }\right)^(3)} \\\\ {=510 *\left((1)/(3)\right)^(3) \text { yard }^(3)} \\\\ {=510 * (1)/(3^(3)) \text { yard }^(3)} \\\\ {=510 * (1)/(27) \text { yard }^(3)} \\\\ {=18.89 \text { yard }^(3)}\end{array}`

Hence, the air conditioning system can circulate 18.89 cubic yards per minute approximately.