Cubic Inch to Cubic Centimeter Converter
Instantly convert cubic inch cubic centimeter with our free converter. See conversion tables, formulas, and step-by-step explanations.
Reviewed for accuracy by Manoj Kumar, Mathematics Educator
Cubic Inch to Cubic Centimeter Converter
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Formula: cm³ = in³ × 16.387064
Worked example — 350 in³ = 5,735.47 cm³ = 5.735 L
Formula
cm³ = in³ × 16.387064
One cubic inch equals exactly 16.387064 cubic centimeters. This is derived from the linear relationship where 1 inch = 2.54 cm, cubed: 2.54^3 = 16.387064.
Worked Examples
Example 1: Engine Displacement Conversion
Problem:Convert a classic 350 cubic inch V8 engine displacement to cubic centimeters and liters.
Solution:Cubic centimeters = 350 x 16.387064 = 5,735.47 cc Liters = 5,735.47 / 1000 = 5.735 liters This is commonly marketed as a 5.7L engine.
Result:350 in³ = 5,735.47 cm³ = 5.735 L
Example 2: 3D Printing Volume Estimation
Problem:A 3D-printed part has a volume of 24.5 cubic inches. How many cubic centimeters of filament material is needed?
Solution:Cubic centimeters = 24.5 x 16.387064 = 401.48 cm³ This equals 401.48 milliliters of material volume. At typical PLA density of 1.24 g/cm³, mass = 401.48 x 1.24 = 497.84 grams.
Result:24.5 in³ = 401.48 cm³ (approximately 497.84 g of PLA)
Frequently Asked Questions
What is the exact conversion factor from cubic inches to cubic centimeters?
One cubic inch is exactly equal to 16.387064 cubic centimeters. This conversion factor is derived from the definition of one inch being exactly 2.54 centimeters. When you cube this linear relationship (2.54 x 2.54 x 2.54), you get 16.387064. This is an exact value, not an approximation, because the inch is defined precisely in terms of centimeters. This conversion is critical in automotive engineering where engine displacement is often listed in both cubic inches and cubic centimeters (or liters). For example, a classic 350 cubic inch engine equals approximately 5,735 cc or 5.7 liters.
Why is cubic inch to cubic centimeter conversion important in automotive engineering?
Engine displacement is one of the most fundamental measurements in automotive engineering, and it is commonly expressed in both cubic inches and cubic centimeters depending on the region and era. American muscle cars traditionally used cubic inches, such as the famous 427, 454, and 350 cubic inch engines. Meanwhile, European and Asian manufacturers use cubic centimeters or liters. Converting between these units is essential when comparing engine specifications across different manufacturers, ordering replacement parts, understanding performance data, and complying with emissions regulations that may reference displacement in either unit system.
How do I convert cubic inches to liters?
To convert cubic inches to liters, first convert cubic inches to cubic centimeters by multiplying by 16.387064, then divide by 1000 since there are 1000 cubic centimeters in one liter. Alternatively, you can use the shortcut of multiplying cubic inches by 0.016387064 to get liters directly. For example, a 302 cubic inch engine equals 302 x 0.016387 = 4.949 liters, commonly rounded to 5.0 liters. This relationship is particularly useful when shopping for vehicles internationally, as some markets list displacement in liters while others use cubic inches or cubic centimeters.
What are common applications of cubic volume conversion beyond automotive?
Cubic inch to cubic centimeter conversion is used extensively in manufacturing, 3D printing, medical devices, and packaging industries. In manufacturing, material volume calculations determine raw material requirements and costs. 3D printing software often requires volume in cubic centimeters to estimate filament usage and print time. Medical device specifications frequently require precise volume measurements in metric units for regulatory compliance. Packaging engineers convert between these units when designing containers for international markets. Scientific research involving fluid displacement, specimen volume measurement, and laboratory equipment calibration also relies heavily on accurate volume conversions between imperial and metric systems.
What is the difference between cubic centimeters and milliliters?
Cubic centimeters (cc or cm cubed) and milliliters (mL) are effectively identical in volume for all practical purposes. By definition, one milliliter equals exactly one cubic centimeter. This equivalence was established by the International Committee for Weights and Measures in 1964. In medical contexts, you will often see cc used interchangeably with mL when measuring medication dosages, syringe volumes, and IV fluid rates. In automotive contexts, engine displacement is typically expressed in cc rather than mL, even though the values are identical. This interchangeability simplifies many calculations since converting cubic inches to cubic centimeters automatically gives you the value in milliliters as well.
References
Reviewed for accuracy by Manoj Kumar, Mathematics Educator · Editorial policy
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