Volume Units Practice Problems with Solutions | Math Practice

To convert 100 m³ to cm³, follow these steps:

• Step 1: Understand the relationship between meters and centimeters. We know that 1 meter equals 100 centimeters.
• Step 2: Determine the volume in cubic centimeters for 1 cubic meter. Since 1 m = 100 cm, we have $1 \text{ m}^3 = (100 \, \text{cm})^3$.
• Step 3: Calculate $(100 \, \text{cm})^3$. This results in $100 \times 100 \times 100 = 1,000,000$ cm³.
• Step 4: Since we need to convert 100 m³, multiply the result for 1 m³ by 100. Thus, $100 \text{ m}^3 = 100 \times 1,000,000 \, \text{cm}^3 = 100,000,000 \, \text{cm}^3$.

Therefore, 100 m³ is equivalent to $100,000,000 \, \text{cm}^3$.

From the given choices, the correct choice is choice 3, which is $100,000,000 \, \text{cm}^3$.

To solve the problem of converting 143535 milliliters to liters, follow these steps:

• The given quantity is 143535 milliliters (ml).
• Use the conversion factor: $1 \text{ liter} = 1000 \text{ milliliters}$.
• Convert milliliters to liters by dividing the milliliters by 1000.

Let's perform the calculation:
$143535 \text{ ml} \div 1000 = 143.535 \text{ liters}$

This calculation shows that 143535 milliliters equals 143.535 liters.

Therefore, the solution to the problem is $143.535l$.

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 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: $1600 \text{ ml}$.

To convert 18 liters to milliliters, we will follow these steps:

• Identify the conversion factor from liters to milliliters.
• Multiply the given number of liters by this conversion factor.

Step 1: The conversion factor is $1 \text{ liter} = 1000 \text{ milliliters}$.

Step 2: Multiply 18 liters by 1000 to convert it to milliliters:

$18 \times 1000 = 18000$ milliliters.

Thus, 18 liters is equal to $18,000$ milliliters.

Therefore, the correct answer is $\text{choice 3}: 18,000 \text{ ml}$. The answer, when compared to the choices, confirms that choice 3 is indeed the correct one.