A parallelepiped is a polyhedron with six faces, each of them a parallelogram.
A rectangular parallelepiped (cuboid) has all faces rectangular.
Formula
The volume of a cuboid is length × width × height ⇒ V = a * b * c
Example
An aquarium 100 × 40 × 50 cm: V = 100 × 40 × 50 = 200,000 cm³ = 200 L. A foundation slab 6 × 4 × 0.3 m: V = 7.2 m³ of concrete.
Units
The volume comes out in cubic units of the dimensions you enter: centimetres give cm³, metres give m³. Use the same unit for all dimensions. Conversion: 1 L = 1 dm³ = 1000 cm³, 1 m³ = 1000 L, 1 mL = 1 cm³.
Good to know
- The actual water volume of an aquarium is smaller because of glass thickness, substrate and the gap at the top — usually by 10–15%.
- Order 3–5% extra concrete for shrinkage and losses.
- For an oblique parallelepiped use the height, not the side edge:
V = Sbase × H.
Where it is used
- Aquariums, pools, tanks.
- Concrete for foundations, slabs and screeds; soil for an excavation.
- Boxes, containers, cargo and truck body volume, room volume for ventilation and air conditioning.
How to use
Enter the dimensions (decimals with a dot or comma) and press “Calculate”. You get the formula with your numbers and the result with a copy button, and the 3D model is redrawn to your dimensions.