Question

A motorcycle engine is 0.750L. Express the volume in cubic inches.

Short answer

The motorcycle engine has a volume of approximately 45.765 cubic inches.

Step-by-step solution

Understand the Conversion Units

To convert from liters to cubic inches, we need to know the conversion factor. 1 liter is equivalent to approximately 61.02 cubic inches.

Use the Conversion Factor

To convert 0.750 liters to cubic inches, multiply 0.750 liters by the conversion factor 61.02. So the calculation we need to perform is:\[ 0.750 \text{ L} \times 61.02 \text{ cubic inches/L} \]

Calculate the Conversion

Perform the multiplication:\[ 0.750 \times 61.02 = 45.765 \text{ cubic inches} \]

Interpretation

The volume of the motorcycle engine, originally given as 0.750 liters, is approximately 45.765 cubic inches.

Key concepts

Volume Conversion

Volume conversion is a fascinating aspect of mathematics and science that allows us to switch measurements from one unit system to another. It's particularly useful when dealing with dimensional quantities like volume in everyday applications, such as determining the capacity of containers or engine sizes.
The key to volume conversion is understanding the conversion factor, which tells us how many of one unit equals another. For example, the conversion factor from liters to cubic inches is crucial when you want to convert between these two units, which come from different measurement systems. By using these conversion factors, we can accurately translate measurements into a format that is more understandable or usable in different regions or contexts.

• Conversion factors change the unit but not the quantity itself.
• Accurate conversion requires a precise factor - for volumes, this means a lot!
• Volume conversion helps in comparing and contrasting sizes, such as comparing engine volumes in the automotive industry.

Cubic Inches

Cubic inches are part of the imperial measurement system, which is widely used in the United States. A cubic inch is essentially a cube with each edge measuring exactly one inch. This is a volumetric measurement that gives us an idea of how much space an object occupies.
The use of cubic inches is common in measuring volumes where precision is important, such as in engineering fields like automotive and aeronautics. Understanding how to calculate or convert to cubic inches can be important for tasks like designing equipment that fits into a specific space or quantifying materials.

• A cubic inch is the volume of a cube with sides that are each one inch long.
• It provides precise volume measurements, essential for detailed engineering work.
• Cubic inch measurements are predominant in American industries.

Liter to Cubic Inches Conversion

Converting from liters to cubic inches involves applying a specific conversion factor, which is known and accepted worldwide. This practice is especially useful when you need to present measurements in terms familiar to a particular audience or industry.
To convert liters to cubic inches, you multiply the number of liters by the conversion factor: 1 liter equals approximately 61.02 cubic inches. For example, in the problem where an engine size is described as 0.750 liters, you'll calculate its size as cubic inches by multiplying 0.750 with 61.02, resulting in 45.765 cubic inches.

• The conversion factor from liters to cubic inches is decisive in making the conversion accurate: 1 L = 61.02 in³.
• When performing actual conversions, ensure you accurately apply these figures to avoid measurement errors.
• Understanding these conversions helps in fields that integrate global standards, such as automotive manufacturing, where both metric and imperial measurements are used.