To convert quarts (qt) to liters (L), we need to know the conversion factor between these two units of volume.
1 quart is approximately equal to 0.946353 liters.
Given that we have 62 quarts, we apply this conversion factor to determine the equivalent volume in liters:
[tex]\[ \text{Liters} = \text{Quarts} \times \text{Conversion factor} \][/tex]
Substituting the values, we get:
[tex]\[ \text{Liters} = 62 \, \text{qt} \times 0.946353 \, \text{L/qt} \][/tex]
Multiplying these values together:
[tex]\[ \text{Liters} = 58.673886 \, \text{L} \][/tex]
Rounding this result to the nearest tenth, we get:
[tex]\[ \text{Liters} \approx 58.7 \, \text{L} \][/tex]
Thus, 62 quarts is approximately equal to 58.7 liters. So, the correct answer from the given options is:
[tex]\[ \boxed{58.7} \][/tex]