Engine Displacement Calculator

Calculate engine displacement from bore, stroke, and cylinder count

Engine Specifications

Total Displacement

351.9 ci
5.77 L (5766 cc)

Engine Details

Single Cylinder Volume43.98 ci / 720.7 cc
Bore/Stroke Ratio1.143
Engine TypeOversquare

Formula

Displacement = (π/4) × Bore² × Stroke × Cylinders

What Is Engine Displacement?

Engine displacement is the total volume swept by every piston inside an engine as it moves from the bottom of its stroke to the top, multiplied by the number of cylinders. It is the single most quoted number in engine specifications, printed on badges as 5.7L, 350 ci, or 2.0L turbo. This engine displacement calculator converts the three physical dimensions that define an engine—bore, stroke, and cylinder count—into displacement expressed in cubic inches (ci), liters (L), and cubic centimeters (cc).

Displacement matters because it sets the baseline for how much air and fuel an engine can ingest on each cycle, which in turn governs torque and power potential. A larger displacement engine generally produces more torque at a given engine speed, which is why pickup trucks and muscle cars favor big-bore V8s while economy cars rely on compact, high-revving four-cylinders. Knowing your true displacement is essential when comparing engines, sizing a carburetor or throttle body, calculating compression ratio, classifying a racing build, or estimating tax and insurance brackets in regions that tax by engine size.

The calculator accepts measurements in either inches or millimeters. When you select millimeters, each dimension is converted to inches by dividing by 25.4 before the volume is computed, so the underlying geometry is identical regardless of which unit you start from. The result panel also reports single-cylinder volume, the bore/stroke ratio, and whether the engine is oversquare, undersquare, or square.

The Engine Displacement Formula

Each cylinder is treated as a circular bore through which the piston travels a fixed distance called the stroke. That volume is simply the area of the bore circle multiplied by the stroke length. The area of a circle is (π/4) × diameter², so for one cylinder the swept volume equals (π/4) × Bore² × Stroke. Multiplying by the number of cylinders gives total engine displacement, exactly as this calculator computes it.

The calculator works internally in cubic inches and then converts. One cubic inch equals 0.016387064 liters and 16.387064 cubic centimeters, so liters are found by multiplying cubic inches by 0.016387064 and cc by multiplying by 16.387064. Single-cylinder volume is total displacement divided by the cylinder count. The bore/stroke ratio is bore divided by stroke: greater than 1 is oversquare (short stroke), less than 1 is undersquare (long stroke), and exactly 1 is a square engine.

Engine Displacement

Displacement = (π / 4) × Bore² × Stroke × Cylinders

Where:

  • Bore= Cylinder diameter (in inches; mm input is divided by 25.4 first)
  • Stroke= Distance the piston travels top to bottom (same unit as bore)
  • Cylinders= Number of cylinders in the engine
  • π / 4= Constant (≈ 0.785398) converting diameter squared to circle area

Bore, Stroke, and the Oversquare vs Undersquare Question

Two engines can share the same displacement yet behave very differently depending on how that volume is split between bore and stroke. The bore/stroke ratio reported by this calculator captures that character. An oversquare engine (bore larger than stroke, ratio above 1) has a wide combustion chamber and a short piston travel, which reduces piston speed at high rpm and leaves room for large valves. These engines tend to rev freely and make peak power high in the range, a layout common in sports cars and motorcycles.

An undersquare or long-stroke engine (ratio below 1) generates more low-end torque and is mechanically gentle on the valvetrain at moderate speeds, which suits trucks, diesels, and tractors. A square engine has bore equal to stroke and balances the two tendencies. The classic Chevrolet small-block 350, with a 4.00-inch bore and 3.48-inch stroke, is mildly oversquare at a ratio of about 1.15, illustrating why it is prized as a flexible, all-around V8.

Ratio (Bore ÷ Stroke) Classification Typical Behavior
Greater than 1.0 Oversquare (short stroke) High-rpm power, big valves, free-revving
Exactly 1.0 Square Balanced torque and rpm range
Less than 1.0 Undersquare (long stroke) Low-end torque, gentle valvetrain, diesels

How to Use the Engine Displacement Calculator

Using the engine displacement calculator takes only a few seconds once you have your engine measurements. Follow these steps:

  1. Select your measurement unit—inches for U.S. domestic engine specs or millimeters for most import and metric specifications.
  2. Enter the bore, the diameter of the cylinder. For a stock engine this comes from the manufacturer’s specs; for a bored block, measure the finished cylinder diameter.
  3. Enter the stroke, the full distance the piston travels. This is determined by the crankshaft and equals twice the crank throw or rod-journal offset.
  4. Choose the number of cylinders from the dropdown, which supports configurations from a single cylinder up to a W16.

The result panel immediately shows total displacement in cubic inches, liters, and cc, plus single-cylinder volume, the bore/stroke ratio, and the oversquare/square/undersquare classification. Because the math is geometric and exact, you can use it to verify advertised displacement figures, plan an overbore or stroker build, or compare two candidate engines side by side. Always measure bore and stroke as precisely as possible—displacement scales with the square of the bore, so a small bore error produces a disproportionately large change in the result.

Why Displacement Matters for Power, Tuning, and Classification

Displacement is the foundation of an engine’s breathing capacity, but it is not the only factor in power output. The same 5.7-liter V8 can make 250 horsepower in a low-compression truck or 500-plus horsepower with aggressive cams, high compression, and forced induction. Still, displacement sets the ceiling for naturally aspirated airflow, which is why builders quote it first and why many racing classes and tax codes draw their lines around it. An engine size calculator like this one is the starting point for nearly every performance calculation.

Once you know displacement you can move on to related decisions. Carburetor and throttle-body sizing scales with displacement and target rpm; volumetric efficiency calculations multiply displacement by engine speed to estimate airflow; and compression ratio depends on cylinder volume, which is the single-cylinder figure this tool reports. For forced-induction builds, displacement combined with boost pressure determines the effective air mass an engine ingests. Racing organizations such as the SCCA and drag-racing sanctioning bodies frequently classify entries by cubic-inch or liter brackets, so calculating displacement precisely can decide which class a build legally falls into.

Many countries also levy registration tax, road tax, or insurance premiums based on engine displacement in cc or liters, making an accurate engine cc calculator useful well beyond the workshop. Whether you are estimating ownership costs, planning a stroker kit, or simply settling a debate about whether a 383 stroker is really a small block, getting the displacement number right is the essential first step.

Worked Examples

Chevy 350-Style Small Block (4.00 in bore, 3.50 in stroke, V8)

Problem:

Calculate displacement for an 8-cylinder engine with a 4.00-inch bore and a 3.50-inch stroke, measured in inches.

Solution Steps:

  1. 1Per-cylinder area = (π / 4) × 4.00² = 0.785398 × 16 = 12.566 sq in.
  2. 2Per-cylinder volume = 12.566 × 3.50 stroke = 43.98 cubic inches.
  3. 3Total = 43.98 × 8 cylinders = 351.86 cubic inches.
  4. 4Convert: 351.86 × 0.016387064 = 5.77 L, and 351.86 × 16.387064 = 5766 cc.

Result:

351.9 ci ≈ 5.77 L (5766 cc); bore/stroke ratio 1.143 — oversquare.

Metric Four-Cylinder (86 mm square bore and stroke)

Problem:

Find displacement for a 4-cylinder engine with an 86 mm bore and an 86 mm stroke, entered in millimeters.

Solution Steps:

  1. 1Convert to inches: bore = 86 / 25.4 = 3.386 in, stroke = 86 / 25.4 = 3.386 in.
  2. 2Per-cylinder volume = (π / 4) × 3.386² × 3.386 = 30.48 cubic inches.
  3. 3Total = 30.48 × 4 cylinders = 121.94 cubic inches.
  4. 4Convert: 121.94 × 16.387064 = 1998 cc ≈ 2.0 L.

Result:

121.9 ci ≈ 2.00 L (1998 cc); bore/stroke ratio 1.000 — square.

0.030 Overbore 350 (4.030 in bore, 3.480 in stroke, V8)

Problem:

A small-block V8 is bored 0.030 inch oversize to a 4.030-inch bore with the stock 3.480-inch stroke. What is the new displacement?

Solution Steps:

  1. 1Per-cylinder area = (π / 4) × 4.030² = 0.785398 × 16.2409 = 12.755 sq in.
  2. 2Per-cylinder volume = 12.755 × 3.480 = 44.39 cubic inches.
  3. 3Total = 44.39 × 8 cylinders = 355.12 cubic inches.
  4. 4Convert: 355.12 × 0.016387064 = 5.82 L (5819 cc).

Result:

355.1 ci ≈ 5.82 L (5819 cc); the 0.030 overbore adds about 3.3 ci over a stock 4.000-inch bore.

Tips & Best Practices

  • Measure bore to the nearest 0.001 inch because displacement changes with the square of the bore.
  • Stroke is set by the crankshaft and equals twice the crank throw, not the rod length.
  • Switch the unit selector to millimeters for import or metric engines, then read liters and cc directly.
  • Use the single-cylinder volume output as the starting point for compression-ratio calculations.
  • Compare the bore/stroke ratio of two engines to predict which will rev higher versus pull harder at low rpm.
  • Remember a 0.030-inch overbore on a V8 typically adds only a few cubic inches, not a whole engine class.
  • Expect badged displacement to be rounded, so trust your measured figure over a marketing number.
  • For stroker builds, recalculate after choosing both the new crank stroke and the finished bore size.

Frequently Asked Questions

Displacement equals (π / 4) × Bore² × Stroke × Cylinders, where bore and stroke are in the same length unit. The (π / 4) factor (about 0.785398) converts the bore squared into the area of the cylinder circle, and multiplying by stroke and cylinder count gives the total swept volume. This calculator computes the result in cubic inches first, then converts to liters and cc.
Multiply cubic inches by 0.016387064 to get liters, and by 16.387064 to get cubic centimeters. For example, 350 cubic inches equals about 5.7 liters or 5735 cc. The calculator performs these conversions automatically so you can read displacement in whichever unit you prefer.
An oversquare engine has a bore larger than its stroke, giving a bore/stroke ratio above 1, which favors high-rpm power and large valves. An undersquare engine has a stroke longer than its bore, a ratio below 1, which favors low-end torque and is common in trucks and diesels. A square engine has bore equal to stroke and balances both characteristics.
Bore has a stronger effect because displacement scales with the square of the bore but only linearly with stroke. Doubling the bore would quadruple cylinder volume, while doubling the stroke only doubles it. That is why even a small 0.030-inch overbore noticeably increases displacement, and why stroker kits combine both a longer crank and a larger bore for the biggest gains.
The calculator uses the exact geometric formula with no rounding shortcuts, so its accuracy is limited only by the precision of the bore and stroke you enter. For best results, measure bore to the thousandth of an inch (or to a tenth of a millimeter) and use the actual crank-determined stroke. Because volume depends on bore squared, even small measurement errors are magnified in the final figure.
Manufacturers often round displacement for badging, so a 5766 cc engine may be sold as a 5.7L or a 350. Advertised figures can also reflect nominal design dimensions rather than the as-built bore and stroke. Small differences of a few cc between this calculator and a published spec are normal and usually come from rounding or manufacturing tolerances.

Sources & References

Last updated: 2026-06-05

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Editorial Note

MyCalcBuddy Editorial Team

This page is maintained as an educational calculator reference.

Source

Formula Source: Standard Mathematical References

by Various

UpdatedLast reviewed: May 2026
CheckedFormula checks are based on standard references and internal QA review.