Volume Calculator - Calculatrice en ligne gratuite

Volume calculations come up constantly in Indian homes and businesses: sizing water tanks (overhead and underground), checking concrete pours for slabs and footings, computing room volume for AC sizing or HVAC, packaging dimensions for parcels and luggage, swimming pool capacity, fuel tank size, gas cylinder capacity, and grain storage in silos and godowns. This calculator handles all six standard 3D shapes - cube, rectangular prism, cylinder, cone, sphere, pyramid - with the formula shown so you can verify by hand and understand the geometry.

Class 5-10 mathematics covers volume systematically: rectangular solids in middle school, cylinders and spheres in Class 8-9, cones and pyramids in Class 9-10. JEE/NEET aspirants encounter volume in mensuration, frustums, hemispheres, and integration-based volumes of revolution. For everyday users, the most-used formulas are cylindrical (water tanks, drums, pipes) and rectangular (rooms, boxes, trenches). The cylinder volume formula πr²h shows up in plumbing flow calculations, oil storage, and even compressor sizing.

Six standard volume formulas: Cube = side³ (special prism). Rectangular prism (cuboid) = length × width × height. Cylinder = π × radius² × height = base area × height. Cone = ⅓ × π × radius² × height = one-third of equivalent cylinder. Sphere = (4/3) × π × radius³. Pyramid = ⅓ × base area × height. Notice the pattern: 'pointed' shapes (cone, pyramid) are always one-third the volume of their 'straight-sided' counterparts (cylinder, prism) - a beautiful geometric result first proven by Archimedes.

Unit conversions: 1 m³ = 1000 litres = 35.31 cubic feet = 1.308 cubic yards. 1 cubic foot ≈ 28.32 litres. 1 cubic inch ≈ 16.39 ml. So a 2 m × 1.5 m × 1 m water tank holds 3,000 litres. A 100-litre water heater is 0.1 m³. Volume calculations almost always need unit conversion to express results in the practical unit (litres for water, m³ for concrete, cubic feet for grain).

Composite shapes: real-world objects are often combinations - a water bottle is a cylinder + a hemisphere top; a pencil is a cylinder + a cone tip; a temple dome is a hemisphere over a cylindrical base. Decompose the object into known shapes, compute each volume, and sum (or subtract for hollow regions). For irregular objects (a stone, a piece of fruit), use Archimedes' water-displacement method - submerge the object in water and measure the displaced volume.