Answer :
To convert between different metric units of volume, it is important to know the basic conversions:
- 1 liter (L) = 10 deciliters (dl) = 100 centiliters (cl) = 1,000 milliliters (ml).
- 1 kiloliter (kl) = 10 hectoliters (hl) = 100 dekaliters (dal) = 1,000 liters (L).
Let's solve the problem step by step:
23 liters (L) is converted to deciliters (dl), centiliters (cl), and milliliters (ml):
- Deciliters: [tex]23 \text{ L} = 23 \times 10 = 230 \text{ dl}[/tex]
- Centiliters: [tex]23 \text{ L} = 23 \times 100 = 2,300 \text{ cl}[/tex]
- Milliliters: [tex]23 \text{ L} = 23 \times 1,000 = 23,000 \text{ ml}[/tex]
47 kiloliters (kl) is converted to hectoliters (hl), dekaliters (dal), and liters (L):
- Hectoliters: [tex]47 \text{ kl} = 47 \times 10 = 470 \text{ hl}[/tex]
- Dekaliters: [tex]47 \text{ kl} = 47 \times 100 = 4,700 \text{ dal}[/tex]
- Liters: [tex]47 \text{ kl} = 47 \times 1,000 = 47,000 \text{ L}[/tex]
360 dekaliters (dal) is converted to liters (L), deciliters (dl), and centiliters (cl):
- Liters: [tex]360 \text{ dal} = 360 \times 10 = 3,600 \text{ L}[/tex]
Now to deciliters:
- [tex]3,600 \text{ L} = 3,600 \times 10 = 36,000 \text{ dl}[/tex]
And to centiliters:
- [tex]3,600 \text{ L} = 3,600 \times 100 = 360,000 \text{ cl}[/tex]
30,000 milliliters (ml) is converted to centiliters (cl), deciliters (dl), and liters (L):
- Centiliters: [tex]30,000 \text{ ml} = 30,000 / 10 = 3,000 \text{ cl}[/tex]
- Deciliters: [tex]30,000 \text{ ml} = 30,000 / 100 = 300 \text{ dl}[/tex]
- Liters: [tex]30,000 \text{ ml} = 30,000 / 1,000 = 30 \text{ L}[/tex]
These conversions are based on the metric system, which makes it easy because it uses powers of 10. Each step involves multiplying or dividing by 10, depending on whether you are converting to a larger or smaller unit.
