You’re provided a measurement in cubic centimeters. You’re told that 1 cubic centimeter is equal to 1 millimeter (1 cm3 = 1 ml) and that 1 fluid ounce is equal to about 29.57 milliliters (1 oz = 29.57 ml). Which operations would convert the initial measurement (x) into fluid ounces
The Correct Answer and Explanation is:
To convert a measurement in cubic centimeters (cm³) into fluid ounces (oz), follow these steps using the given conversions:
- 1 cm3=1 mL1 \, \text{cm}^3 = 1 \, \text{mL}1cm3=1mL
- 1 oz=29.57 mL1 \, \text{oz} = 29.57 \, \text{mL}1oz=29.57mL
Correct Answer:
Divide the number of cubic centimeters (x) by 29.57.
That is:fluid ounces=x29.57\text{fluid ounces} = \frac{x}{29.57}fluid ounces=29.57x
Explanation
To perform any unit conversion, the key idea is to move step by step from the original unit to the desired unit using known conversion factors.
In this case, the starting measurement is in cubic centimeters (cm³). The goal is to convert this into fluid ounces (oz).
We are told that:
- 1 cm³ is exactly equal to 1 milliliter (mL). This step is straightforward. If we have, say, 50 cm³, that’s equal to 50 mL because the values are interchangeable.
Next, we want to go from milliliters to fluid ounces. We are told:
- 1 fluid ounce = 29.57 milliliters
This means that 1 milliliter is equal to 1 ÷ 29.57 ounces. So, to convert milliliters into ounces, you divide by 29.57.
Since cubic centimeters are numerically equal to milliliters, you can apply this conversion directly to the cm³ value.
So, if x is the original measurement in cm³, then:x cm3=x mLx \, \text{cm}^3 = x \, \text{mL}xcm3=xmL
Then,x mL÷29.57=fluid ouncesx \, \text{mL} \div 29.57 = \text{fluid ounces}xmL÷29.57=fluid ounces
In short, you just divide the original number x by 29.57 to get the measurement in fluid ounces.
This process keeps the conversion accurate and ensures you correctly transform the volume into the desired unit without confusion.
