Given:
Volume : 5/24 cubic unit
Base Area : 1/5 square unit
Volume = L W H
Base Area = L W
Volume = Base Area H
H = Volume / Base Area
H = 5/24 cubic unit ÷ 1/5 square unit
H = 5/24 cubic unit 5/1 square unit
H = 55 cubic unit / 24 * 1 square unit
H = 25 unit / 24 unit
H = 1 1/24 unit