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Volume Calculator

Ten solid shapes, any length unit — volume in ft³, yd³, m³, gallons and litres.

Updated 2026-10-20 · Based on: exact NIST unit definitions.

How to use the Volume Calculator

  1. Pick the shape.
  2. Enter its sizes.
  3. Read cubic feet, cubic yards, cubic metres, US gallons and litres.

Formula

Box: l × w × h. Cylinder: π r² h. Sphere: 4/3 π r³. Cone: ⅓ π r² h. Pyramid: ⅓ l w h.

Tube: π (R² − r²) h. Capsule: cylinder + sphere. Frustum: ⅓ π h (R² + R r + r²).

1 ft³ = 7.48 US gallons = 28.32 L; 1 m³ = 1,000 L.

Worked example

With the values preset in the calculator above: (Box)

Length
4 ft
Width
3 ft
Height
2 ft
Volume
24 ft³ (0.89 yd³)
Capacity
179.5 gal (679.6 L)
Cubic yards
0.89 yd³ (24 ft³)

Frequently asked questions

How do I calculate the volume of a cylinder?

π × radius² × height. A drum 2 ft across and 2 ft tall holds 6.28 ft³.

How many gallons in a cubic foot?

7.48 US gallons (28.32 litres).

What is the volume of a sphere?

4/3 × π × radius³. A 1 m ball holds 0.524 m³.

More calculators

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Estimates only — check quantities with your supplier and local building code before you order.