THE NUMBERS, EXPLAINED
How to use this calculator.
Round each box dimension up to whole voxels. Memory is the dense raw grid only; object overhead, indices, sparse compression and temporary buffers are excluded.
Start with your inputs
Enter box x (mm), box y (mm), box z (mm), voxel pitch (mm), bytes per voxel. Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Box X (mm) | 10 |
| Box Y (mm) | 20 |
| Box Z (mm) | 30 |
| Voxel pitch (mm) | 1 |
| Bytes per voxel | 4 |
A worked example
With the example inputs above, grid dimensions is 10 × 20 × 30. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Grid dimensions | 10 × 20 × 30 |
| Voxel count | 6,000 |
| Raw bytes | 24,000 |
| Raw MiB | 0.022888 |
How this is calculated
Grid dimensions
Each axis count = roundUp(axis dimension / d).
Voxel count
Multiply all three axis counts.
Raw bytes
Voxel count × e.
Raw MiB
Raw bytes / 2^20.
Symbols and units
- a
- Box X (mm)
- b
- Box Y (mm)
- c
- Box Z (mm)
- d
- Voxel pitch (mm)
- e
- Bytes per voxel
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions and limits
Round each box dimension up to whole voxels. Memory is the dense raw grid only; object overhead, indices, sparse compression and temporary buffers are excluded.
Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.
Questions about this tool
What does the result tell me?
Grid dimensions; Voxel count; Raw bytes; Raw MiB. The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.
Why might another calculator differ?
Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: Round each box dimension up to whole voxels. Memory is the dense raw grid only; object overhead, indices, sparse compression and temporary buffers are excluded.
Are my inputs stored or sent to AI?
Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.
Further reading
OpenStax: algebra and proportional reasoning ↗
Background reading; this does not imply endorsement or independent review of SumFizz.
Review status
Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.
Read the quality report →