On Wednesday evening, a mother, father and their two daughters were testing out a boat on the waters of Lake Albert when the pleasurecraft caught fire.

After they escaped, firefighters extinguished the blaze and, after the boat sunk, placed booms around the site.

On Sunday, the Fire and Rescue NSW Station 480 team were out inspecting the booms placed around the boat fire.

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On Thursday, Riverina Police District Detective Acting Inspector Phil Malligan said the family told police they had bought the vessel second-hand, and it was their first time taking it out.

"It is under investigation," he said.

"The family had only purchased the boat a week ago, and we believe that it was a fault in the motor that caused the boat to exploded."

The eight-year-old girl suffered burns to eight per cent of her body, while her older sister, 11, sustained injuries to six per cent of her body.

Inspector Malligan said it was likely the boat would be raised from the lake in the coming weeks.