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: 10 oz of coffee 8 oz water 6 oz vegetable broth Total \(\mathrm{mL}=\) ______

Short answer

The total fluid intake is 709.764 mL.

Step-by-step solution

Convert oz to mL

To convert ounces to milliliters, use the conversion factor: 1 oz = 29.5735 mL. We apply this conversion to each of the liquid amounts consumed.

Coffee Intake

Convert 10 oz of coffee to milliliters:\[10 \text{ oz} \times 29.5735 \text{ mL/oz} = 295.735 \text{ mL}\]Thus, the coffee intake is 295.735 mL.

Water Intake

Convert 8 oz of water to milliliters:\[8 \text{ oz} \times 29.5735 \text{ mL/oz} = 236.588 \text{ mL}\]Thus, the water intake is 236.588 mL.

Vegetable Broth Intake

Convert 6 oz of vegetable broth to milliliters:\[6 \text{ oz} \times 29.5735 \text{ mL/oz} = 177.441 \text{ mL}\]Thus, the vegetable broth intake is 177.441 mL.

Calculate Total Fluid Intake

Add up all the milliliter amounts for the total fluid intake:\[295.735 \text{ mL} + 236.588 \text{ mL} + 177.441 \text{ mL} = 709.764 \text{ mL}\]Thus, the total fluid intake is 709.764 mL.

Key concepts

Unit Conversion

Unit conversion is a vital skill when dealing with different measurement systems. Often, you'll encounter the need to convert units such as ounces into milliliters, especially in fluid measurements. Understanding and accurately applying these conversions is key in both academic exercises and real-world scenarios.

Here, the conversion factor between ounces and milliliters is highly relevant. The conversion factor, 1 ounce equals approximately 29.5735 milliliters, helps translate units from one measurement system (imperial) to another (metric).

• Start by identifying what measurement you are dealing with.
• Use the conversion factor to convert the unit you have into the unit you need.
• Multiply the number of units by the conversion factor for a seamless conversion.

Knowing how to convert units ensures that you can quantify fluid intake accurately, which is important for maintaining health records or conducting experiments.

Milliliters

Milliliters are a unit of volume in the metric system and are commonly used to measure smaller quantities of liquid. The metric system is globally accepted, making milliliters a preferred unit in scientific contexts and many countries around the world for everyday measurements.

Understanding milliliters is crucial, especially when converting from other units. Their widespread use in recipes, medical dosages, and scientific data makes it important to know how to convert into or from milliliters effectively.

• Milliliters are part of the metric system, which is based on powers of ten, facilitating straightforward calculations.
• When converting to or from milliliters, remember the conversion factor relevant to your particular exercise.
• Milliliters provide precise measurement, crucial for accuracy in calculations.

Familiarity with milliliters and their conversions ensure you'll effortlessly handle tasks involving liquid measurement.

Ounces

Ounces are a unit of volume commonly used in the United States, primarily to measure liquids in culinary and some health contexts. They belong to the imperial system of measurement, which can make them tricky to convert to metric units like milliliters.

Using ounces requires an understanding of how they relate to other units of measure, such as cups and glasses, which are evaluated in this exercise. Knowing the relationships between these units and milliliters is key when precise fluid measurement is necessary.

• One ounce equals approximately 29.5735 milliliters.
• Common conversions involve knowing that 1 cup equals 8 ounces, and 1 glass equals 4 ounces.
• These conversions are crucial for day-to-day measurements in settings where the imperial system is used.

Mastering how to work with ounces and convert them into metric units broadens your skill set for both academic and practical endeavors.

Step By Step Solution

Understanding step-by-step solutions is integral to mastering the process of unit conversion and accurately determining liquid measures. Here's how it was applied in solving the exercise at hand:

Firstly, identify each step separately:

• Convert the coffee intake by multiplying 10 oz by the conversion factor 29.5735, resulting in 295.735 mL.
• Next, convert 8 oz of water to milliliters, obtaining 236.588 mL.
• Finally, the vegetable broth is converted from 6 oz, yielding 177.441 mL.

After all individual conversions, you sum the milliliters to get the total fluid intake. In this case, 295.735 mL of coffee, 236.588 mL of water, and 177.441 mL of broth are added together to make a total of 709.764 mL.

This step-by-step format not only ensures accuracy but also aids in understanding each stage of the calculation. By breaking down the problem into manageable parts, learning becomes an interactive and engaging process.