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Chapter 2: Problem 33

How many milliliters are there in \(246.7 \mathrm{~cm}^{3} ?\)

Short Answer

Expert verified
There are \(246.7 \: \mathrm{mL}\) in \(246.7 \: \mathrm{cm}^3\).

Step by step solution

01

Know the conversion factor between cm鲁 and mL

Remember that 1 cm鲁 is equal to 1 mL.
02

Write the given volume in cm鲁

The volume given is \(246.7 \: \mathrm{cm}^3\).
03

Convert the volume from cm鲁 to mL

Since 1 cm鲁 is equal to 1 mL, the volume can be directly written as: \(246.7 \: \mathrm{cm}^3 = 246.7 \: \mathrm{mL}\)
04

State the final answer

There are \(246.7 \: \mathrm{mL}\) in \(246.7 \: \mathrm{cm}^3\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Volume Conversion
Volume conversion is the process of changing the measurement of a volume from one unit to another. It is a common practice in both everyday life and scientific applications, especially when dealing with different measurement systems or units.
Understanding how to switch between different units of volume is crucial for accurately comparing or converting measurements. Here are some key points to consider:
  • Make sure you know the relationship between the units involved. For example, 1 liter is equivalent to 1,000 milliliters.
  • Use a consistent methodology: To convert from one unit to another, multiply or divide by the appropriate conversion factor.
  • Volume can be measured in different systems, like Imperial or Metric, so it's essential to know which system you're working with.
Always double-check your calculations to avoid errors.
Cubic Centimeters to Milliliters
The conversion between cubic centimeters (\( ext{cm}^3\)) and milliliters (mL) is remarkably simple because they are equivalent. This means that 1 cubic centimeter is exactly equal to 1 milliliter. This simplicity arises because both units are part of the metric system and are designed to be interchangeable.
Here's what you should know about this conversion:
  • You can directly substitute the unit \( ext{cm}^3\) with mL without any need for computation.
  • This 1:1 ratio simplifies calculations in laboratory, cooking, and various practical applications.
  • Understanding this equivalency is fundamental when performing volume measurements and conversions in the metric system.
Thus, converting from cubic centimeters to milliliters is one of the easiest conversions you can encounter.
Metric System Conversion
The metric system is an internationally agreed decimal system of measurement. It's based on multiples of ten, which makes conversions straightforward and calculations easier. Within this system, units of volume include liters, milliliters, and cubic centimeters, among others.
Here are some important aspects of metric system conversions:
  • Metric conversions are simplified when you remember key equivalencies, such as 1,000 milliliters equals 1 liter, or 1 cubic meter equals 1,000 liters.
  • The main advantage of the metric system is its universality and ease of understanding due to its decimal nature.
  • When converting in the metric system, it often only requires moving the decimal point, which minimizes errors and speeds up the computation process.
The metric system's simplicity makes it exceptionally practical for scientific, academic, and day-to-day activities worldwide.

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Most popular questions from this chapter

Indicate the correct number of significant figures for each answer, given that all values are measurements: (a) \(\left(6.350 \times 10^{-8}\right) \times(0.0080)\) (b) \(\left(5.30 \times 10^{2}\right)+\left(22.1 \times 10^{2}\right)\) (c) \(\left(5.830 \times 10^{2}\right)+\left(22.100 \times 10^{2}\right)\) (d) \(\frac{100.0 \times 0.1500}{58.443}\) (e) \(\frac{100.0 \times 0.15}{58.4}\)

Indicate the uncertainty in: (a) \(74.8 \mathrm{~m}\) (b) \(0.0026 \mathrm{~g}\) (c) \(1.250 \times 10^{3} \mathrm{~L}\) (d) \(18 \mathrm{~cm}\) (e) 18 pennies

The recommended tire pressure in a bicycle is 125 pounds \(/ \mathrm{in}^{2}\). What is this tire pressure in atmospheres? \(\left(1 \mathrm{~atm}=14.70\right.\) pounds \(\left./ \mathrm{in} .^{2}\right)\)

An object travels \(80.0 \mathrm{~m} / \mathrm{s}\). How fast is it traveling in miles per hour? \([1 \mathrm{~m}=3.28 \mathrm{ft}, 1\) mile \(=5280 \mathrm{ft}]\)

You measure one edge of a cube using a meterstick marked in centimeters. Unfortunately, the edge is longer than \(1 \mathrm{~m}\). You mark the \(1-\mathrm{m}\) point on the cube edge with a pen and then, using a \(15-\mathrm{cm}\) ruler marked in millimeters, measure the remaining distance to be \(1.40 \mathrm{~cm}\). (a) What is the length of the edge in centimeters? (b) What is the volume of the cube in cubic centimeters? (Remember, the lengths of all edges of a cube are equal.) Watch your significant figures. Use scientific notation if you have to. (c) The cube has a mass of \(111 \mathrm{~kg} .\) What is its density in grams per milliliter? Watch your significant figures.
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