Convert 6.8 Cubic Decimeters (dm³) to Milliliters: Volume Unit Conversion

Q: Why does 1 dm³ equal 1000 ml exactly?

A cubic decimeter is a cube with sides of 1 decimeter each. Since 1 decimeter = 10 centimeters, this cube has volume 10 × 10 × 10 = 1000 cubic centimeters, and 1 cm³ = 1 ml!

Q: How do I remember which way to multiply?

Think about it logically: milliliters are smaller units than cubic decimeters, so you need more of them to measure the same volume. That means multiply, not divide!

Q: Are there other volume units I should know?

Yes! Remember that 1 liter = 1 dm³ = 1000 ml. Also, 1 m³ = 1000 dm³. These relationships help you convert between any metric volume units.

Q: Can I use this method for other metric conversions?

Similar principles apply to other metric conversions, but always check the conversion factor first. Length, mass, and volume all have different patterns for their conversion factors.

Volume Conversion with Metric Units

Convert $6.8dm^3$ into milliliters.

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Understand the problem

Convert $6.8dm^3$ into milliliters.

Step-by-step solution

To convert $6.8dm^3$ into milliliters, we'll follow these steps:

Step 1: Identify the given volume in cubic decimeters, which is $6.8dm^3$ .
Step 2: Use the conversion factor that $1dm^3 = 1000ml$ .
Step 3: Multiply the given volume by the conversion factor to convert cubic decimeters to milliliters.

Now, let's perform the conversion:
Given: $6.8dm^3$

Using the conversion factor, we calculate:
$6.8dm^3 \times 1000ml/dm^3 = 6800ml$

Therefore, the volume of $6.8dm^3$ is equivalent to $6800ml$ .

Final Answer

$6800ml$

Key Points to Remember

Essential concepts to master this topic

Rule: One cubic decimeter equals exactly 1000 milliliters
Technique: Multiply dm³ by 1000: 6.8 × 1000 = 6800ml
Check: Reverse conversion: 6800ml ÷ 1000 = 6.8dm³ ✓

Common Mistakes

Avoid these frequent errors

Using wrong conversion factor
Don't divide by 1000 instead of multiply = gives 0.0068ml! This happens when students confuse the direction of conversion. Always multiply dm³ by 1000 to get milliliters since there are 1000ml in each dm³.

Practice Quiz

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How many cm³ are there in a m³?

FAQ

Everything you need to know about this question

Why does 1 dm³ equal 1000 ml exactly?

A cubic decimeter is a cube with sides of 1 decimeter each. Since 1 decimeter = 10 centimeters, this cube has volume 10 × 10 × 10 = 1000 cubic centimeters, and 1 cm³ = 1 ml!

How do I remember which way to multiply?

Think about it logically: milliliters are smaller units than cubic decimeters, so you need more of them to measure the same volume. That means multiply, not divide!

What if I get a decimal answer?

Decimal answers are common in unit conversions! Just make sure to keep all decimal places from your multiplication and double-check your arithmetic.

Are there other volume units I should know?

Yes! Remember that 1 liter = 1 dm³ = 1000 ml. Also, 1 m³ = 1000 dm³. These relationships help you convert between any metric volume units.

Can I use this method for other metric conversions?

Similar principles apply to other metric conversions, but always check the conversion factor first. Length, mass, and volume all have different patterns for their conversion factors.

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