Derive the following conversion factors:

(a) Convert a volume flow rate in cubic inches per minute to cubic millimeters per minute.

(b) Convert a volume flow rate in cubic meters per second to gallons per minute (gpm).

(c) Convert a volume flow rate in liters per minute to gpm.

(d) Convert a volume flow rate of air in standard cubic feet per minute (SCFM) to cubic meters per hour. A standard cubic foot of gas occupies one cubic foot at standard temperature and pressure ( \(T=15^{\circ} \mathrm{C}\) and \(p=101.3 \mathrm{kPa}\) absolute).