Free Online Volume Calculator

A volume calculator computes the 3D space occupied by common shapes including rectangular prisms, cylinders, spheres, cones, pyramids, spheres, ellipsoids, and truncated shapes. Essential for engineering design, manufacturing, construction, shipping, agriculture, and inventory management across all industries requiring precise material, storage, and capacity calculations.

Enter dimensions and instantly receive volume in cubic units (m³, ft³, liters, gallons) with surface area, material requirements, and capacity conversions. Handles imperial/metric units, supports complex shapes like hoppers and silos, and provides cost estimates based on material density—perfect for contractors, engineers, warehouse managers, farmers, and manufacturers.

What is Volume?

Volume measures 3D space in cubic units. Rectangular tank 2m×3m×4m = 24m³. Cylinder radius 1m height 5m = π×1²×5 = 15.7m³. Unlike 2D area (square units), volume requires three dimensions (length×width×height).

Practical applications span construction (concrete volume), shipping (container capacity), manufacturing (mold fill), agriculture (silo grain), chemical engineering (reactor volume), and logistics (pallet stacking). Accurate volume calculation prevents material waste, optimizes storage, ensures safety margins.

Calculator converts between units: 1m³=1000L=264USgal=35.3ft³=2204lbs water. Handles density conversions for weight calculations (steel tank, concrete slab, grain silo).

Volume Formulas by Shape

How to Use the Volume Calculator

1. 1Select Shape: Box, cylinder, tank, silo, cone, etc. from dropdown.
2. 2Enter Dimensions: Length, width, height, radius, diameter. Auto-converts units.
3. 3Get Results: Volume, surface area, weight (with density), capacity (liters/gallons).
4. 4Export: PDF report, CSV data, 3D visualization, material cost estimate.

Industry Applications & Examples

Construction & Concrete

Manufacturing & Shipping

Agriculture & Storage

• Grain Silo: Cylinder r=4m, h=15m = 754m³ = 600 tons wheat
• Fertilizer Hopper: Pyramid 3m×3m×5m = 15m³ = 24 tons
• Irrigation Pond: Hemisphere r=10m = 2094m³ = 2M liters

Unit Conversions & Density Calculator

Advanced Features

Partial Fill Calculations

Tank 80% full? Cylinder partially filled to h/2 = 50% volume. Hopper conical fill levels. Automatic percentage fill volume computation.

Surface Area Bonus

Box surface 2(LW+LH+WH), cylinder 2πrh+2πr². Essential for paint, wrap, plating costs.

Cost Estimator

Volume × density × price/unit = total cost. Concrete $120/m³ × 45m³ = $5400.

Frequently Asked Questions

Metric or imperial?

Both. Auto-converts feet→meters, gallons→liters, pounds→kg.

Irregular shapes?

Approximate with cylinders, boxes, frustums. Advanced: multiple shape combinations.

Partial containers?

Percentage fill, exact liquid height. Tanks, barrels, vats supported.

Weight calculation?

Volume × density = mass. 50+ common materials preloaded.

Mobile friendly?

Full touch support. Job site optimized. Offline capable.

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Commercial Disclaimer

Volume calculator delivers precise 3D measurements for commercial construction bidding, manufacturing planning, shipping optimization, agricultural storage, and engineering design. Verify structural/safety-critical calculations with licensed professionals and applicable codes/standards.