High School

3. Convert the following:

(a) 702 L into mL
(b) 3.86 kL into L
(c) 316.8 mL into L
(d) 27.46 hL into dL
(e) 15/140 mL into mL (note: simplify or correct this as necessary)
(f) 20 hL 150 daL into kL
(g) 0.889 hL into cL

Answer :

Let's tackle each of the conversions one by one:


  1. Convert 702 liters into milliliters:

    To convert liters to milliliters, you multiply by 1,000 because 1 liter = 1,000 milliliters.

    [tex]702 \text{ l} \times 1,000 = 702,000 \text{ ml}[/tex]


  2. Convert 3.86 kiloliters into liters:

    To convert kiloliters to liters, you multiply by 1,000 because 1 kiloliter = 1,000 liters.

    [tex]3.86 \text{ kl} \times 1,000 = 3,860 \text{ l}[/tex]


  3. Convert 316.8 milliliters into liters:

    To convert milliliters to liters, you divide by 1,000 because 1 liter = 1,000 milliliters.

    [tex]\frac{316.8 \text{ ml}}{1,000} = 0.3168 \text{ l}[/tex]


  4. Convert 27.46 hectoliters into deciliters:

    First, convert hectoliters to liters: 1 hectoliter = 100 liters. Then convert liters to deciliters: 1 liter = 10 deciliters.

    [tex]27.46 \text{ hl} \times 100 \times 10 = 27,460 \text{ dl}[/tex]


  5. Convert [tex]\frac{15}{140}[/tex] milliliters into milliliters:

    The fraction [tex]\frac{15}{140}[/tex] is already in milliliters so there is no need for conversion here. Just simplify if necessary.


  6. Convert 20 hectoliters and 150 dekaliters into kiloliters:

    Convert each to liters first:


    • 20 hectoliters = 20 \times 100 = 2,000 liters

    • 150 dekaliters = 150 \times 10 = 1,500 liters


    Add them together: 2,000 + 1,500 = 3,500 liters.

    Now, convert liters to kiloliters: divide by 1,000.

    [tex]\frac{3,500}{1,000} = 3.5 \text{ kl}[/tex]


  7. Convert 0.889 hectoliters into centiliters:

    First, convert hectoliters to liters: 1 hectoliter = 100 liters.

    [tex]0.889 \text{ hl} \times 100 = 88.9 \text{ l}[/tex]

    Then, convert liters to centiliters: 1 liter = 100 centiliters.

    [tex]88.9 \text{ l} \times 100 = 8,890 \text{ cl}[/tex]



These conversions should help you understand the step-by-step process of converting different metric units of volume!