Units of Measurement Practice Problems and Conversions

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

• Step 1: Identify the given information
• Step 2: Apply the appropriate formula
• Step 3: Perform the conversion

Now, let's work through each step:
Step 1: The problem provides us with the volume $16,848 \, \text{dm}^3$.
Step 2: We know that $1 \, \text{dm}^3 = 1 \, \text{l}$. This means that each cubic decimeter is equivalent to one liter.
Step 3: Using this direct equivalence, we can convert $16,848 \, \text{dm}^3$ directly into $16,848 \, \text{l}$.

Therefore, the volume of $16,848 \, \text{dm}^3$ is equivalent to $16,848 \, \text{l}$.

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 $6800ml$.

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

• Step 1: Identify the given amount in milliliters which is $3850 \, \text{ml}$.
• Step 2: Use the conversion factor $1 \, \text{dm}^3 = 1000 \, \text{ml}$.
• Step 3: Divide the milliliters by 1000 to convert to cubic decimeters.

Now, let's work through each step:
Step 1: We have $3850 \, \text{ml}$.
Step 2: We need to convert this volume to cubic decimeters using the conversion factor where $1000 \, \text{ml} = 1 \, \text{dm}^3$.
Step 3: Perform the conversion by dividing the milliliters by the conversion factor:

$\frac{3850 \, \text{ml}}{1000 \, \text{ml/dm}^3} = 3.85 \, \text{dm}^3$

Therefore, the solution to the problem is $3.85 \, \text{dm}^3$.

Let's solve the problem through a series of steps for ease of understanding:

• Step 1: Identify the volume in cubic centimeters.
  The given volume is $61\frac{1}{2} \, \text{cm}^3$.
• Step 2: Convert the mixed number to an improper fraction.
  The mixed number $61\frac{1}{2}$ can be rewritten as $61 + \frac{1}{2}$ which equals $\frac{122}{2} + \frac{1}{2} = \frac{123}{2}$. This is equivalent to 61.5 cubic centimeters.
• Step 3: Convert cubic centimeters to cubic decimeters.
  Using the fact that $1 \, \text{dm}^3 = 1000 \, \text{cm}^3$, we divide the given volume by 1000 to convert from cubic centimeters to cubic decimeters.
  $\frac{123}{2} \div 1000 = \frac{123}{2000} = \frac{61.5}{1000}$

Therefore, the volume in cubic decimeters is $\frac{61.5}{1000} \, \text{dm}^3$.

Upon examining the available choices, choice 1: $\frac{61.5}{1000 \, \text{dm}^3}$ is the correct answer.

The solution to the problem is $\frac{61.5}{1000 \, \text{dm}^3}$.

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

• Step 1: Identify the conversion factor between liters and milliliters.
• Step 2: Perform the conversion by multiplying the volume in liters by 1000 since $1 \text{ liter} = 1000 \text{ milliliters}$.

Now, let's work through each step:
Step 1: The conversion factor is $1 \text{ liter} = 1000 \text{ milliliters}$.
Step 2: We have $1.6 \text{ liters}$. To convert this into milliliters, multiply $1.6$ by $1000$:

$1.6 \times 1000 = 1600$

Therefore, the solution to the problem is $1600 \text{ ml}$.

The correct choice from the given options is: $1600 \text{ ml}$.