Convert Between Customary and Metric Capacity
Converting between customary and metric capacity in Grade 6 uses approximate conversion factors: 1 gallon ≈ 3.79 liters, 1 liter ≈ 0.264 gallons, 1 quart ≈ 0.946 liters. From enVision Mathematics, to convert 2 gallons to liters: 2 × 3.79 = 7.58 liters. These conversions are essential for science labs, cooking with international recipes, understanding nutrition labels, and comparing fuel economy across countries. Grade 6 students learn to multiply or divide by the appropriate conversion factor depending on the direction of conversion.
Key Concepts
Property Key approximate conversion factors for capacity are: 1 gallon (gal) $\approx$ 3.79 liters (L) 1 liter (L) $\approx$ 0.264 gallon (gal) 1 quart (qt) $\approx$ 0.946 liter (L) 1 liter (L) $\approx$ 1.06 quart (qt).
Examples Convert 2 gallons to liters: $$ 2 \text{ gal} \times \frac{3.79 \text{ L}}{1 \text{ gal}} \approx 7.58 \text{ L} \quad \text{or} \quad 7.58 \text{ L} \times \frac{1 \text{ gal}}{3.79 \text{ L}} \approx 2 \text{ gal} $$.
Convert 5 liters to gallons: $$ 5 \text{ L} \times \frac{1 \text{ gal}}{3.79 \text{ L}} \approx 1.32 \text{ gal} \quad \text{or} \quad 1.32 \text{ gal} \times \frac{3.79 \text{ L}}{1 \text{ gal}} \approx 5 \text{ L} $$.
Common Questions
How do you convert gallons to liters?
Multiply the number of gallons by approximately 3.79. For example, 2 gallons × 3.79 = 7.58 liters.
How do you convert liters to gallons?
Multiply the number of liters by approximately 0.264. For example, 5 liters × 0.264 ≈ 1.32 gallons.
How do you convert quarts to liters?
Multiply quarts by approximately 0.946. For example, 4 quarts × 0.946 ≈ 3.78 liters (close to 1 gallon).
Where is converting between customary and metric capacity taught in enVision Mathematics?
This skill is covered in enVision Mathematics, Grade 6, as part of measurement and proportional reasoning.
Why are these conversions approximate?
The exact metric equivalents of customary units involve long decimals. Approximate values (like 3.79 L/gal) are used for practical calculations while maintaining adequate precision.
How is converting capacity similar to converting length?
Both involve multiplying by a conversion factor when converting to a larger unit, or dividing when converting to a smaller unit. The key is knowing the correct factor for each unit pair.
What real-world situations require customary-metric capacity conversions?
Understanding medicine dosages (mL vs. fl oz), comparing fuel efficiency (L/100km vs. mpg), reading international recipes, and using science lab equipment all require these conversions.