Convert 1.8 Liters to Milliliters: Finding Total Volume of 3 Bottles

Unit Conversion with Multiplication Application

A bottle can hold 1.8 liters. How many milliliters can 3 similar bottles hold?

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1

Understand the problem

A bottle can hold 1.8 liters. How many milliliters can 3 similar bottles hold?

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert the volume of one bottle from liters to milliliters.
  • Step 2: Multiply the volume of one bottle by the number of bottles.

Step 1: Each bottle holds 1.8 liters. Since 1 liter is equal to 1000 milliliters, we convert 1.8 liters to milliliters:

1.8 liters×1000milliliters/liter=1800milliliters 1.8 \text{ liters} \times 1000 \, \text{milliliters/liter} = 1800 \, \text{milliliters} .

Step 2: Calculate the total capacity for 3 bottles:

1800milliliters/bottle×3bottles=5400milliliters 1800 \, \text{milliliters/bottle} \times 3 \, \text{bottles} = 5400 \, \text{milliliters} .

Therefore, the total capacity of 3 bottles is 5400milliliters 5400 \, \text{milliliters} .

3

Final Answer

5400ml 5400ml

Key Points to Remember

Essential concepts to master this topic
  • Conversion Rule: 1 liter equals exactly 1000 milliliters always
  • Technique: Convert first: 1.8 L × 1000 = 1800 mL
  • Check: Total volume 5400 mL ÷ 3 bottles = 1800 mL per bottle ✓

Common Mistakes

Avoid these frequent errors
  • Converting after multiplying by number of bottles
    Don't multiply 1.8 L × 3 bottles = 5.4 L then convert = wrong process! This makes calculations harder and increases error risk. Always convert units first, then multiply by quantity needed.

Practice Quiz

Test your knowledge with interactive questions

Convert \( 16,848dm^3 \) into liters.

FAQ

Everything you need to know about this question

Why do I need to convert liters to milliliters first?

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Converting before multiplying makes the math cleaner! Working with whole numbers like 1800 × 3 is much easier than decimals like 1.8 × 3, and reduces calculation errors.

How do I remember that 1 liter = 1000 milliliters?

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Think of it this way: milli means one-thousandth, so it takes 1000 milliliters to make 1 whole liter. Just like 1000 millimeters = 1 meter!

What if I forgot to multiply by 3 bottles?

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You'd get 1800ml 1800 \, \text{ml} instead of 5400ml 5400 \, \text{ml} ! Always read the problem carefully - it asks for 3 bottles, not just one bottle.

Can I solve this problem in a different order?

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Yes! You could calculate 1.8×3=5.4liters 1.8 \times 3 = 5.4 \, \text{liters} first, then convert 5.4×1000=5400ml 5.4 \times 1000 = 5400 \, \text{ml} . Both methods work!

How do I check if 5400 ml is reasonable?

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Think about it: each bottle holds almost 2 liters, so 3 bottles should hold about 6 liters. Since 6 liters = 6000 ml, our answer of 5400 ml makes perfect sense!

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