Prince William and Loudoun county voters will approve or reject nearly $23 million in bond issues to finance various projects June 14, although officials in each county say there is no real choice to be made on whether the projects should be built.

The real question the bond voters will decide, officials say, is how the projects should be financed and when they should be started.

In Prince William County, $14.95 million has been proposed for school construction and alterations, with $13.35 million of the total to be used to build a new high school in the fast growing east end of the county.

School Board and County Board members have said that if the issue fails June 14 it will again be submitted to the voters in November.

In Loudoun County, $5.3 million for schools, $2 million for court improvements, $300,000 for additional land at the county landfill and $400,000 for park land acquistition will be voted on in four bond issues.

The county board has said that new elementary schools in Sugarland Run, in the populous east end of Loudoun, and in Leesburg will be built out of general revenue funds if the bond issue fails. The court work also will be paid for cut of general revenue if its bond fails. Landfill expansion might be postponed a year if its bond issue fails.

Prince William officials said the county's sixth high school would be opened in 1980 between U.S. Rte. 1 and I-95 north of Dumphries. It would accommodate 1,875 students on a year-round schedule and would relieve overcrowding projected for Gar-Field and Woodbridge High Schools, which each have a capacity of 2,875 students.

The alternatives to building the sixth high school include extensive busing of children from eastern Prince William to Osbourn Park High School near Manassas, officials said.

It would be possible to delay opening a new high school until 1984, but the added costs of busing, air-conditioning schools in western Prince William for year-round use and delaying construction on the sixth school make it cheaper to build now, school board member Michael O'Donnell said.

In Loudoun, officials said the passage of the bond issue would add 2 cents to the property tax rate this year and 7 cents in later years. Paying for the schools, courts and landfill out of general revenues would add 15 cents to the rate this year, 31 cents next year and 8.5 cents the third year.

A majority on the board have agreed that the schools must be built regardless of the bond issue outcome. The county's circuit court judges have informed the county that the court's facilities must be improved and said that the judges have the power to order the county to carry out the work, a step they have avoided so far, County board members have acknowledged that they have no choice but to start work on the court complex and they publicly have endorsed the bond package.