Explore the 3D Geometry Viewer
Rotate seven 3D solids and calculate volume, surface area, faces, edges and vertices. Free, no signup, runs in your browser.
- Free to use
- No signup
- Nothing to install
- Runs in your browser
See it in action
The 3D Geometry Viewer with sample data entered and the result showing.
What is the 3D Geometry Viewer?
Rotate seven 3D solids and calculate volume, surface area, faces, edges and vertices. It runs in your browser, so a change to a setting or a drag on an object shows up at once.
Engineers, architects and 3D artists use volume and area formulas to size tanks, pack goods and estimate material.
3 steps to your result
Open the tool and follow along. Nothing to install.
What you get
Volume measures the space inside a solid.
Surface area is the total area of its faces.
For polyhedra, F − E + V = 2 (Euler).
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.
Used for
Pick one to see how it fits.
Math learners
Algebra, geometry, trigonometry and calculus students, teachers preparing demonstrations, and self-learners who want to see the maths move.
Try it freeTeachers
For teachers: project the 3D Geometry Viewer (Volume & Surface Area) on the board, let students predict the result, then run it together and test this: Compare a cone with a cylinder. For students: change one thing at a time and write down what changes.
Try it freeHow it compares
A plain look at this tool next to the usual alternative.
| This simulation | Textbook diagram | |
|---|---|---|
| Interactive | Drag, tap and change settings | Fixed picture |
| Install | Nothing to install | Not needed |
| Cost | Free to use | Depends on the book |
Questions people ask
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. The 3D Geometry Viewer (Volume & Surface Area) is free, needs no signup or download and runs in your web browser. It is part of the Math group of AZRS simulations.
Does the 3D Geometry Viewer (Volume & Surface Area) work on a phone or tablet?
Yes. The 3D Geometry Viewer (Volume & Surface Area) takes touch input as well as mouse input, so you can use its 6 adjustable settings with a finger. A larger screen makes the controls and graphs easier to read.
How do I use the 3D Geometry Viewer?
1. In 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. 2. In the 3D Geometry Viewer (Volume & Surface Area), pick an option such as Cube, Cuboid, Cylinder, Cone to switch modes or load an example. 3. In the 3D Geometry Viewer (Volume & Surface Area), press "Auto-spin on/off", "Reset view" to start, reset or change what is happening. 4. Start with this experiment: Double the size of a cube and see the volume become eight times larger. Drag any glowing handle, object or slider with your mouse or finger and the 3D Geometry Viewer (Volume & Surface Area) responds in real time. 5. Change one setting at a time and watch which readout moves, then compare it with this idea: Volume measures the space inside a solid.
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Try the 3D Geometry Viewer now
Rotate seven 3D solids and calculate volume, surface area, faces, edges and vertices. Free to use.
Try it free