Choose all of the conversions that are true for the capacity of the pitcher of orange juice. Pitcher filled with 3.5 litres of orange juice.
A. 0.35 kL
B. 0.035 kL
C. 0.0035 kL
D. 3,500 mL
E. 350 mL
The correct answer and explanation is:
The correct conversions are:
A. 0.35 kL
D. 3,500 mL
Explanation:
- From Litres to Kilolitres:
To convert from litres (L) to kilolitres (kL), we use the conversion factor of 1 kL = 1,000 L. So, to convert 3.5 L to kL, divide by 1,000: 3.5 L=3.51000=0.35 kL3.5 \, \text{L} = \frac{3.5}{1000} = 0.35 \, \text{kL} Therefore, option A (0.35 kL) is correct. - From Litres to Millilitres:
To convert from litres to millilitres (mL), we use the conversion factor of 1 L = 1,000 mL. So, to convert 3.5 L to mL, multiply by 1,000: 3.5 L=3.5×1000=3500 mL3.5 \, \text{L} = 3.5 \times 1000 = 3500 \, \text{mL} Therefore, option D (3,500 mL) is correct.
Why the others are incorrect:
- B. 0.035 kL: This is not correct because 3.5 L equals 0.35 kL, not 0.035 kL. It represents a mistake by shifting the decimal point too far.
- C. 0.0035 kL: This is also incorrect. It would imply that the volume is much smaller than 3.5 L, closer to 3.5 mL, which is not the case.
- E. 350 mL: This is incorrect. It suggests that the pitcher has 0.35 L, but in fact, the pitcher holds 3.5 L, which is equivalent to 3,500 mL.
These conversions follow the metric system’s standard for volume. Each unit (L, kL, mL) is based on powers of 10, making it easy to convert between them by moving the decimal point.