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Chapter 8: Problem 1

\(1 \mathrm{~L}=\) ____________ \(\mathrm{mL}=\) ____________ \(\mathrm{cm}^{3}\)

Short Answer

Expert verified
1000 mL = 1000 cm鲁

Step by step solution

01

Convert Liters to Milliliters

To convert 1 liter (L) to milliliters (mL), use the conversion factor that 1 liter is equal to 1000 milliliters. So, multiply 1 by 1000.1 L = 1 脳 1000 mL = 1000 mL
02

Convert Milliliters to Cubic Centimeters

Milliliters and cubic centimeters are equivalent. Therefore, 1 milliliter (mL) is equal to 1 cubic centimeter (cm鲁). Using the result from Step 1, we know that 1000 mL is equal to 1000 cm鲁.1000 mL = 1000 cm鲁

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Key Concepts

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

liters to milliliters
Liters and milliliters are units of volume commonly used in daily life and scientific contexts. Converting between these units is straightforward because there are exactly 1000 milliliters (mL) in 1 liter (L). This relationship is a simple multiplication: just multiply the number of liters by 1000.

For example, to convert 1 liter to milliliters, you multiply:

1 L = 1 脳 1000 mL = 1000 mL.

This conversion factor (1000) remains the same for any quantity of liters. So, 2 liters would be 2 脳 1000 = 2000 milliliters, and so on.
milliliters to cubic centimeters
Milliliters (mL) and cubic centimeters (cm鲁) are two units that measure the same volume. This equivalence comes from how these units are defined. One milliliter of liquid occupies the same space as one cubic centimeter in a 3-dimensional cube.

Therefore, converting between these units is a 1:1 process. This means that 1 milliliter is exactly 1 cubic centimeter.

So, if you have 1000 milliliters, it is equivalent to 1000 cubic centimeters:

1000 mL = 1000 cm鲁.
unit conversions in mathematics
Unit conversions are essential in mathematics and science because they allow us to switch between different measurement systems. This can make solving problems easier and results more understandable.

When working with unit conversions, always keep the conversion factors in mind. For example:
  • 1 liter = 1000 milliliters
  • 1 milliliter = 1 cubic centimeter
Use these relationships to change units by multiplying or dividing, as needed.

Steps for successful conversion:
  • Identify the starting unit and the desired unit.
  • Use the appropriate conversion factor.
  • Multiply (or sometimes divide) to convert from one unit to another.
Following these steps ensures that your conversions are accurate and reliable.

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Most popular questions from this chapter

Complete. 1 min =________sec

Convert to Fahrenheit. Use the formula \(F=\frac{9}{5} \cdot C+32\) or \(F=1.8 \cdot C+32\). $$ 5^{\circ} \mathrm{C} $$

Convert to Celsius. Use the formula \(C=\frac{5}{9} \cdot(F-32)\) or \(C=\frac{F-32}{1.8}\). $$ 86^{\circ} \mathrm{F} $$

Complete. 4 hr = _______sec

Convert to Fahrenheit. Use the formula \(F=\frac{9}{5} \cdot C+32\) or \(F=1.8 \cdot C+32\). $$ 15^{\circ} \mathrm{C} $$
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