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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Step 1 of 9

Shape

Unit System

Side Length

How to Use This Calculator

Select the 3D shape from the dropdown — cube, sphere, cylinder, cone, pyramid, rectangular prism, ellipsoid, torus, or capsule.
Enter the required dimensions for your shape (e.g., radius and height for a cylinder).
Volume and Surface Area are computed using standard 3D geometry formulas.
For a sphere: V = (4/3)πr³, SA = 4πr²; for a cylinder: V = πr²h, SA = 2πr² + 2πrh.
The surface area breakdown chart shows how much each face or component contributes to total surface area.
All dimensions must be positive; the torus requires the tube radius to be smaller than the major radius.

How the result changes with Side Length

Side Length	Volume
10,000	1,000,000,000,000
35,000	42,875,000,000,000
65,000	274,625,000,000,000
90,000	729,000,000,000,000

What each input means

Shape: The geometric shape to calculate.
Unit System: Measurement system (imperial or metric).
Side Length: Side length of the cube
Major Radius (R): Distance from center of torus to center of tube
Minor Radius (r): Radius of the tube
Cylinder Height: Height of cylindrical portion (not including hemispherical ends)

How this is calculated

Worked example, using the default values

Identify Input Parameters
4 parameters
Shape = 0, Unit System = 0, Side Length = 10, Length = 12 = 27 input(s) provided
Calculate Volume
Volume
1000 = 1000
Calculate Surface Area
Surface Area
600 = 600
Calculate Lateral Surface Area
Lateral Surface Area
400 = 400

Engine last updated July 28, 2026. Checked against 4 independently-derived tests — how we verify calculators.

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Complete 2D geometry calculator for all common shapes — rectangles, squares, circles, triangles, ellipses, parallelograms, rhombuses, trapezoids, and regular polygons. Calculate area, perimeter, angles, and more.

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