Calculate engine displacement from bore, stroke, and number of cylinders. Free automotive calculator with metric and imperial units.
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Enter engine details and calculate to see breakdown.
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When you’re building an engine, boring it out, or simply trying to understand its specifications, one of the first numbers you’ll want to know is the total displacement. It’s the volume swept by all the pistons inside the cylinders, a measure of the engine’s breathing capacity and a key indicator of its potential power output. Knowing the displacement helps you compare engines, select the right components, and make informed decisions about modifications.
This engine displacement calculator gives you a quick and accurate way to determine displacement from bore, stroke, and cylinder count. Enter the dimensions using metric (mm), imperial (in), or centimeters, the tool computes the displacement in cubic centimeters (cc), liters (L), and cubic inches (in³). Whether you’re a seasoned engine builder, a student learning about internal combustion engines, or just a car enthusiast curious about your engine’s specs, this calculator delivers instant, accurate results. All calculations run locally in your browser, keeping your data private.
Select your measurement system: Metric (mm), Imperial (in), or Centimeters (cm) using the dropdown at the top of the calculator.
Enter the bore diameter the width of the cylinder using the first input field.
Enter the stroke length the distance the piston travels from top dead center to bottom dead center using the second input field.
Specify the number of cylinders your engine has typically 2, 3, 4, 5, 6, 8, 10, or 12 for automotive engines.
Review the displacement results in cubic centimeters (cc), liters (L), and cubic inches (in³ or ci).
The calculator applies the standard formula for engine displacement, which calculates the total volume swept by all pistons in an engine. The formula is based on the geometry of a cylinder.
Formula: Displacement = (π/4) × Bore² × Stroke × Number of Cylinders
For a single cylinder, the swept volume is the area of the cylinder (π/4 × Bore²) multiplied by the stroke length. The total engine displacement is this single-cylinder volume multiplied by the number of cylinders.
All dimensions are converted to centimeters before calculation to produce results in cubic centimeters (cc). The results are then converted to liters (1 L = 1000 cc) and cubic inches (1 in³ = 16.3871 cc) for display.
Consider a 4-cylinder engine with a bore of 86 mm and a stroke of 86 mm. Let’s calculate the displacement.
Step 1: Convert dimensions to centimeters
Bore: 86 mm = 8.6 cm
Stroke: 86 mm = 8.6 cm
Step 2: Calculate the area of the cylinder
Area = π/4 × 8.6² = 0.7854 × 73.96 = 58.09 cm²
Step 3: Calculate the swept volume per cylinder
Swept volume = Area × Stroke = 58.09 × 8.6 = 499.6 cc
Step 4: Calculate the total displacement
Total displacement = 499.6 × 4 = 1,998.4 cc
Step 5: Convert to liters and cubic inches
Liters = 1,998.4 / 1000 = 1.998 L
Cubic inches = 1,998.4 / 16.3871 = 121.9 in³
Interpretation: This 4-cylinder engine has a displacement of approximately 2.0 liters, or 122 cubic inches. This is a common size for modern four-cylinder engines found in many compact and mid-size cars.
A car enthusiast is comparing two possible engines for a project car. Engine A is a 350 cubic inch V8 (actually 350 in³ ≈ 5.7 L). Engine B is a 302 cubic inch V8 (≈ 5.0 L). Both are similar designs, but the 350 has more displacement.
Using the calculator to understand the difference:
350 in³ = 350 × 16.3871 = 5,735 cc = 5.7 L
302 in³ = 302 × 16.3871 = 4,949 cc = 5.0 L
Interpretation: The 350 has about 16% more displacement than the 302. All else being equal, this would translate to roughly 16% more potential power and torque. The enthusiast can use this information to decide which engine fits their performance goals and budget.
Computes engine displacement instantly from bore, stroke, and cylinder count.
Supports multiple unit systems millimeters, inches, and centimeters with automatic conversion.
Displays results in cubic centimeters (cc), liters (L), and cubic inches (in³ or ci) all at once.
Provides a detailed breakdown of each calculation step for transparency.
Perfect for engine builders, students, mechanics, and automotive enthusiasts.
Updates results instantly as you change inputs, perfect for exploring what-if scenarios.
Runs entirely client-side with no server communication, keeping your data private.
Free to use on any device with responsive design.
Engine displacement is the total volume swept by all the pistons inside an engine’s cylinders. It’s a measure of the engine’s size and breathing capacity, typically expressed in cubic centimeters (cc), liters (L), or cubic inches (in³).
Engine displacement is calculated as: (π/4) × bore² × stroke × number of cylinders. All dimensions must be in the same units for accurate results.
The formula is: Displacement = (π/4) × Bore² × Stroke × Cylinders. Bore and stroke should be in centimeters to get displacement in cubic centimeters (cc).
A cubic inch (in³) is a unit of volume. One cubic inch equals 16.3871 cubic centimeters (cc). Engine displacement is often expressed in cubic inches for American engines (e.g., 350 ci, 302 ci).
Displacement is the total swept volume of all pistons in an engine. Compression ratio is the ratio of the total cylinder volume (swept + clearance) to the clearance volume. They’re related but different concepts displacement is a measure of engine size; compression ratio is a measure of how much the air-fuel mixture is compressed.
Yes, displacement can be increased by increasing the bore (boring the cylinders) or increasing the stroke (using a stroker crankshaft). Both modifications require careful planning and may affect other engine components.
Passenger car engines typically range from 1.0 L to 3.5 L for compact and family cars, while SUVs and trucks often have 3.0 L to 6.0 L engines. Sports cars can range from 2.0 L to 6.0 L or more.
Generally, larger displacement engines can produce more power because they can burn more fuel and air per cycle. However, modern technology like turbocharging and direct injection can allow smaller engines to produce impressive power outputs.
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