QQuestionMathematics
QuestionMathematics
How many cups are in 1 liter? Which conversions show a path to the solution? Check all that apply.
A. Cups → liters → quarts
B. Liters → quarts → cups
C. Cups → gallons → liters
D. Liters → gallons → cups
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Answer
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Step 1:I'll solve this step by step using precise conversion factors:
Step 2:: Identify the known conversion factors
- 1 liter ≈ 4.227 cups - 1 liter ≈ 1.057 quarts - 1 liter ≈ 0.264 gallons
Step 3:: Analyze the given conversion paths
A. Cups → liters → quarts ✓ This path requires two conversions, which is less direct B. Liters → quarts → cups ✓ This is the most direct path using standard conversion factors C. Cups → gallons → liters ✗ This requires two conversions and is less precise D. Liters → gallons → cups ✗ This path involves an extra unnecessary conversion
Step 4:: Verify the most direct conversion
1 \text{ liter} \times \frac{4.227 \text{ cups}}{1 \text{ liter}} = 4.227 \text{ cups}
Final Answer
- Approximately 4.227 cups are in 1 liter - Option B (Liters → quarts → cups) is the most appropriate conversion path The key is using the most direct and precise conversion method.
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