3D Solid Geometry Calculator
Compute the volume and surface area of spheres, cylinders, cones, cubes, boxes, pyramids and tori.
About this tool
A 3D solid geometry calculator for students, engineers and makers. Pick a shape with shape=, supply the needed dimensions as key=value pairs (e.g. r=3, h=4), and it returns the exact volume and surface area along with the formula it applied. All calculations use Math.PI and the standard closed-form formulas, including the cone and pyramid slant-height surface terms.
Frequently asked questions
How do I calculate the volume of a cone?
Enter shape=cone with r= and h=. The tool uses V = 1/3·π·r²·h and computes the curved surface from the slant height √(r²+h²).
What is the surface area formula for a torus?
For a torus with major radius R and minor radius r, the surface area is 4·π²·R·r and the volume is 2·π²·R·r².
Which shapes are supported?
Sphere, cylinder, cone, cube, rectangular box, square pyramid and torus. Set shape= and provide the required dimensions on the same or following lines.