Convert to same units and then can compare.
Based on your spelling of liter, I guess you are American:
1 liter ≈ 2.11 US pints
1 quart = 2 pints
→ 1 liter is greater than 1 quart.
If you are a European who can't spell litre or is stuck with an American dictionary:
1 litre ≈ 1.76 imp pints
1 quart = 2 pints
→ 1 litre is less than 1 quart.
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1 liter=1.05668821 so yes a little bit
greater than
A quart is less than a liter. A quart is a quarter gallon; a gallon is 3.785 liters.
A quart is a bit less than a liter. It's exactly 0.946352946 liters.
1 quart is less than a liter 32 oz < 33.8 oz