Convert the following into La)

Convert the following into La)

3 L

5 dL

9 CL

4 ML

The correct answer and explanation is:

To convert the given values (3 L, 5 dL, 9 cL, 4 mL) into milliliters (mL), we need to apply appropriate conversion factors based on the metric system.

  1. Liters (L) to Milliliters (mL):
    • 1 L is equal to 1000 mL.
    • Therefore, 3 L = 3 × 1000 = 3000 mL.
  2. Deciliters (dL) to Milliliters (mL):
    • 1 dL is equal to 100 mL.
    • Therefore, 5 dL = 5 × 100 = 500 mL.
  3. Centiliters (cL) to Milliliters (mL):
    • 1 cL is equal to 10 mL.
    • Therefore, 9 cL = 9 × 10 = 90 mL.
  4. Milliliters (mL):
    • The value is already in milliliters, so 4 mL remains 4 mL.

Now, to find the total sum in milliliters, add all the converted values together:

  • 3000 mL (from 3 L) + 500 mL (from 5 dL) + 90 mL (from 9 cL) + 4 mL = 3594 mL.

Thus, the total volume is 3594 mL.

Explanation:

The metric system is based on powers of 10, making conversions between units straightforward. The key conversion factors for volume are:

  • 1 liter (L) = 1000 milliliters (mL)
  • 1 deciliter (dL) = 100 milliliters (mL)
  • 1 centiliter (cL) = 10 milliliters (mL)
  • 1 milliliter (mL) remains as it is.

Understanding these conversions is vital for accurate measurement and calculation, especially in scientific and medical fields where precision is important. By converting all units into milliliters, it becomes easier to sum up volumes of different measurements to get a total volume.

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