3D Shape Master Calculator
Complete 3D geometry calculator for all common shapes — cubes, boxes, spheres, cylinders, cones, pyramids, prisms, ellipsoids, torus, and capsules. Calculate volume, surface area, and more.
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How to Use This Calculator
- Follow the step-by-step wizard — complete each step before moving to the next. This guided approach ensures you provide all the necessary information in a logical order.
- Shape — The geometric shape to calculate. Choose from: Cube, Rectangular Prism (Box), Sphere, Hemisphere, Cylinder, Cone, Truncated Cone (Frustum), Square Pyramid, Triangular Prism, Ellipsoid, Torus (Donut), Capsule. default: 0.
- Unit System — Measurement system (imperial or metric). Choose from: Imperial (inches), Metric (centimeters). default: 0.
- Side Length — Side length of the cube Accepts values from 0.01 to 100,000 (default: 10).
- Length — enter a numeric value. Accepts values from 0.01 to 100,000 (default: 12).
- Width — enter a numeric value. Accepts values from 0.01 to 100,000 (default: 8).
- Height — enter a numeric value. Accepts values from 0.01 to 100,000 (default: 6).
- Radius — enter a numeric value. Accepts values from 0.01 to 100,000 (default: 5).
- Radius — enter a numeric value. Accepts values from 0.01 to 100,000 (default: 5).
- Radius — enter a numeric value. Accepts values from 0.01 to 100,000 (default: 5).
- Height — enter a numeric value. Accepts values from 0.01 to 100,000 (default: 10).
- Base Radius — enter a numeric value. Accepts values from 0.01 to 100,000 (default: 5).
- Height — enter a numeric value. Accepts values from 0.01 to 100,000 (default: 12).
- Large Base Radius — enter a numeric value. Accepts values from 0.01 to 100,000 (default: 6).
- Small Base Radius — enter a numeric value. Accepts values from 0.01 to 100,000 (default: 3).
- Height — enter a numeric value. Accepts values from 0.01 to 100,000 (default: 8).
- Base Edge — enter a numeric value. Accepts values from 0.01 to 100,000 (default: 10).
- Height — enter a numeric value. Accepts values from 0.01 to 100,000 (default: 12).
- Triangle Base — enter a numeric value. Accepts values from 0.01 to 100,000 (default: 8).
- Triangle Height — enter a numeric value. Accepts values from 0.01 to 100,000 (default: 6).
- Prism Length — enter a numeric value. Accepts values from 0.01 to 100,000 (default: 15).
- Semi-Axis A — enter a numeric value. Accepts values from 0.01 to 100,000 (default: 6).
- Semi-Axis B — enter a numeric value. Accepts values from 0.01 to 100,000 (default: 4).
- Semi-Axis C — enter a numeric value. Accepts values from 0.01 to 100,000 (default: 3).
- Major Radius (R) — Distance from center of torus to center of tube Accepts values from 0.01 to 100,000 (default: 8).
- Minor Radius (r) — Radius of the tube Accepts values from 0.01 to 100,000 (default: 3).
- Radius — enter a numeric value. Accepts values from 0.01 to 100,000 (default: 4).
- Cylinder Height — Height of cylindrical portion (not including hemispherical ends) Accepts values from 0.01 to 100,000 (default: 10).
- Once all inputs are set, review your results in the Results panel. Here's what each output means:
- Volume — shown as a numeric value. This is the primary result of this calculator.
- Surface Area — shown as a numeric value.
- Lateral Surface Area — shown as a numeric value.
- Shape — your calculated result.
- Formula — your calculated result.
- Volume (cu ft) — shown as a numeric value.
- Volume (m³) — shown as a numeric value.
- Volume (liters) — shown as a numeric value.
- Volume (gallons) — shown as a numeric value.
- Surface Area (sq ft) — shown as a numeric value.
- Surface Area (m²) — shown as a numeric value.
- Space Diagonal — shown as a numeric value.
- Face Diagonal — shown as a numeric value.
- Slant Height — shown as a numeric value.
- Base Area — shown as a numeric value.
- Diameter — shown as a numeric value.
- Great Circle Area — shown as a numeric value.
- View the Surface Area Breakdown below for a visual breakdown of how the numbers relate to each other.
- Explore the related calculators below if you need deeper analysis or want to approach this topic from a different angle.
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