Question

Calculate the fluid intake in milliliters. Use the following equivalents for the problems below: 1 cup \(=8\) oz, 1 glass \(=4\) oz. Client had the following: 8 oz milk 6 oz orange juice 4 oz water with medication Total \(\mathrm{mL}=\) ______

Short answer

The total fluid intake is 532 mL.

Step-by-step solution

Convert Ounces to Milliliters

First, we need to convert the fluid intake measured in ounces to milliliters. We know that 1 ounce (oz) is approximately equal to 29.5735 milliliters (mL).

Calculate Milk in mL

For the 8 oz of milk, we multiply by the conversion factor: \[8 \text{ oz} \times 29.5735 \frac{\text{mL}}{\text{oz}} = 236.588 \text{ mL}\]

Calculate Orange Juice in mL

For the 6 oz of orange juice, we use the same conversion:\[6 \text{ oz} \times 29.5735 \frac{\text{mL}}{\text{oz}} = 177.441 \text{ mL}\]

Calculate Water with Medication in mL

For the 4 oz of water, we convert using the same factor:\[4 \text{ oz} \times 29.5735 \frac{\text{mL}}{\text{oz}} = 118.294 \text{ mL}\]

Sum All Fluid Intakes

Now, we add together all the milliliters calculated from each liquid:\[236.588 \text{ mL} + 177.441 \text{ mL} + 118.294 \text{ mL} = 532.323 \text{ mL}\]

Round to Nearest Whole Number

Since we usually round fluid intake to a whole number, we round 532.323 mL to 532 mL.

Key concepts

Unit Conversion Basics

Unit conversion is an essential skill in mathematics and sciences. It's the process of changing a measurement from one unit to another.
For fluid intake, converting ounces to milliliters is common. This is due to the different systems used: the U.S. customary system (using ounces) and the metric system (using milliliters). To perform a conversion, a conversion factor is needed. A conversion factor is a number used to change one set of units to another, by multiplying or dividing.
Here, our conversion factor is:

• 1 ounce (oz) is approximately equal to 29.5735 milliliters (mL).

To convert ounces to milliliters, multiply the number of ounces by 29.5735. This turns the measurement into milliliters, which is often more precise and universally used in scientific contexts.

Understanding Milliliters

Milliliters are a unit of volume measurement in the metric system. They are denoted as mL. This unit is widely used across the globe for measuring liquids.
One benefit of milliliters is their suitability for different levels of precision. For instance, measuring small liquid quantities is easier and clearer in mL than in ounces. In the task, each drink (milk, orange juice, water) is measured in milliliters after conversion. This helps standardize all fluid amounts into one unit, making calculations straightforward.
As milliliters are everywhere in science and everyday life, understanding and using them smoothly is crucial.

Measured Calculation Process

Measurement is all about quantifying objects using specified units. In the context of fluid intake calculation, it's about precisely measuring how much liquid someone consumes. Here's a quick recap on how to compute fluid intake in milliliters:

• First, list every consumed fluid quantity in ounces.
• Next, convert each fluid amount to milliliters using the conversion factor: 1 oz equals 29.5735 mL.
• Calculate each conversion separately to avoid mistakes. For example, for milk: 8 oz times 29.5735 equals 236.588 mL.
• Finally, sum up all the milliliters from each fluid to get the total intake.
• To finish, if necessary, round the total to the nearest whole number for simplicity.

Ensuring accurate measurements and conversions is vital for reliable results in any task involving volume or fluid intake calculations.