Question

conversion of customary measurement
grade 6 measurements worksheet
convert the given measures to new units.

1. 81 c = ______ qt
2. 65 yd = ______ mi
3. 72 oz = ______ t
4. 27 in = ______ ft
5. 37 qt = ______ gal
6. 59 in = ______ ft
7. 41 gal = ______ c
8. 51 gal = ______ c
9. 30 gal = ______ qt
10. 43 t = ______ oz

Explanation:

Step1: Recall conversion factors

• Cups (c) to quarts (qt): \( 1\ \text{qt} = 4\ \text{c} \), so \( \text{c to qt: divide by 4} \)
• Yards (yd) to miles (mi): \( 1\ \text{mi} = 1760\ \text{yd} \), so \( \text{yd to mi: divide by 1760} \)
• Ounces (oz) to tons (t): \( 1\ \text{t} = 32000\ \text{oz} \), so \( \text{oz to t: divide by 32000} \)
• Inches (in) to feet (ft): \( 1\ \text{ft} = 12\ \text{in} \), so \( \text{in to ft: divide by 12} \)
• Quarts (qt) to gallons (gal): \( 1\ \text{gal} = 4\ \text{qt} \), so \( \text{qt to gal: divide by 4} \)
• Gallons (gal) to cups (c): \( 1\ \text{gal} = 16\ \text{c} \), so \( \text{gal to c: multiply by 16} \)
• Gallons (gal) to quarts (qt): \( 1\ \text{gal} = 4\ \text{qt} \), so \( \text{gal to qt: multiply by 4} \)
• Tons (t) to ounces (oz): \( 1\ \text{t} = 32000\ \text{oz} \), so \( \text{t to oz: multiply by 32000} \)

Step2: Solve each problem

1. \( 81\ \text{c to qt: } 81 \div 4 = 20.25\ \text{qt} \)
2. \( 65\ \text{yd to mi: } 65 \div 1760 \approx 0.0369\ \text{mi (note: 27.07 was incorrect, correct is } \approx 0.0369\text{)} \)
3. \( 72\ \text{oz to t: } 72 \div 32000 = 0.00225\ \text{t} \)
4. \( 27\ \text{in to ft: } 27 \div 12 = 2.25\ \text{ft} \)
5. \( 37\ \text{qt to gal: } 37 \div 4 = 9.25\ \text{gal} \)
6. \( 59\ \text{in to ft: } 59 \div 12 \approx 4.9167\ \text{ft} \)
7. \( 41\ \text{gal to c: } 41 \times 16 = 656\ \text{c} \)
8. \( 51\ \text{gal to c: } 51 \times 16 = 816\ \text{c} \)
9. \( 30\ \text{gal to qt: } 30 \times 4 = 120\ \text{qt} \)
10. \( 43\ \text{t to oz: } 43 \times 32000 = 1376000\ \text{oz} \)

Answer:

1. \( 20.25\ \text{qt} \)
2. \( \approx 0.0369\ \text{mi} \) (corrected from 27.07)
3. \( 0.00225\ \text{t} \)
4. \( 2.25\ \text{ft} \)
5. \( 9.25\ \text{gal} \)
6. \( \approx 4.9167\ \text{ft} \)
7. \( 656\ \text{c} \)
8. \( 816\ \text{c} \)
9. \( 120\ \text{qt} \)
10. \( 1376000\ \text{oz} \)