3D Geometry Viewer (Volume & Surface Area)
Rotate seven 3D solids and calculate volume, surface area, faces, edges and vertices.
Drag the shape to spin it. Change the size sliders and watch the volume, surface area, faces, edges and vertices update.
About the 3D Geometry Viewer (Volume & Surface Area)
Free 3d geometry viewer (volume & surface area). Rotate seven 3D solids and calculate volume, surface area, faces, edges and vertices. Drag, change the sliders and see the result live. No sign-up, works on phone and computer. Built for math, the 3d geometry viewer (volume & surface area) runs instantly in your browser: change a setting or drag an object and the result updates at once, so you learn by trying things out rather than only reading about them.
Rotate seven 3D solids and calculate volume, surface area, faces, edges and vertices. Use it to explore math ideas at your own pace, then check what you found against the key ideas further down this page.
How to use the 3D Geometry Viewer (Volume & Surface Area)
- Use the controls to change Solid, Size a, Size b (height), Draw, Cut plane height, and more. The simulation reacts instantly.
- Pick an option such as Cube, Cuboid, Cylinder, Cone to switch modes or load an example.
- Press "Auto-spin on/off" to start, reset or change what is happening.
- Where you see a glowing handle, object, weight or atom, drag it with your mouse or finger. Everything responds in real time.
- Watch the readouts and graphs update as you experiment, and compare what you see with the key ideas below.
Things to try
- Double the size of a cube and see the volume become eight times larger.
- Compare a cone with a cylinder.
- Check Euler's formula for the pyramid and prism.
Key ideas you can learn
- Volume measures the space inside a solid.
- Surface area is the total area of its faces.
- For polyhedra, F − E + V = 2 (Euler).
- Cones and pyramids hold one third of the prism with the same base and height.
Where this is used in the real world
Engineers, architects and 3D artists use volume and area formulas to size tanks, pack goods and estimate material.
Who is this simulation for?
Algebra, geometry, trigonometry and calculus students, teachers preparing demonstrations, and self-learners who want to see the maths move.
For teachers: project it on the board, let students predict what will happen, then run it together. For students: change one thing at a time and write down what changes.
Frequently asked questions
What is Euler's formula?
For any convex polyhedron the number of faces minus edges plus vertices equals 2.
Why is the cone volume one third of the cylinder?
A cone with the same base and height fills exactly one third of the cylinder.
Is the 3D Geometry Viewer (Volume & Surface Area) free to use?
Yes. It is completely free, with no signup, no download and no ads inside the simulation. It runs in your web browser.
Does the 3D Geometry Viewer (Volume & Surface Area) work on a phone or tablet?
Yes. It uses touch as well as the mouse, so you can drag objects with your finger. A larger screen makes the controls easier to see.