High School

How many 6-milliliter doses of liquid medication can be given from a vial containing 6 deciliters?

Metric Measures of Capacity:
- 1 milliliter (mL) = 0.001 liter
- 1 liter (L) = 1000 mL
- 1 centiliter (cL) = 0.01 liter
- 1 liter (L) = 100 cL
- 1 deciliter (dL) = 0.1 liter
- 1 liter (L) = 10 dL
- 1 cL = 10 mL
- 1 dekaliter (daL) = 10 liters
- 1 hectoliter (hL) = 100 liters
- 1 kiloliter (kL) = 1000 liters
- 1 L = 1000 cm³
- 1 mL = 1 cm³

Answer :

First, we need to convert the vial’s volume from deciliters to milliliters. Since

[tex]$$1 \, dL = 100 \, mL,$$[/tex]

a vial with [tex]$6 \, dL$[/tex] contains

[tex]$$6 \, dL \times 100 \, \frac{mL}{dL} = 600 \, mL.$$[/tex]

Next, each dose is [tex]$6 \, mL$[/tex]. To find the number of doses, divide the total volume of the vial by the volume of one dose:

[tex]$$\frac{600 \, mL}{6 \, mL/\text{dose}} = 100 \, \text{doses}.$$[/tex]

Thus, you can give [tex]$\boxed{100}$[/tex] doses from the vial.