Download your PDF
Largest Axis-Aligned Cube in a Cylinder Calculator result sheet — free, supported by sponsors. Your download button appears in 20 seconds.
This free download is supported by sponsors — continuing in
20
Your file is generated in your browser when you choose Download — nothing is uploaded. If this calculator returns enough numeric data, the export also includes its best-fit chart alongside the readable table.
WorldCalculate result export
Largest Axis-Aligned Cube in a Cylinder Calculator — result sheet
Calculate the largest axis-aligned cube side that fits within a cylinder from cylinder radius and height.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Maximum axis-aligned cube side=min(√2×cylinder radius, cylinder height); cube volume=side³.
The page uses the square cross-section diagonal and cylinder height as the two limiting dimensions for an axis-aligned cube.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Cylinder radius — minimum 1.0E-6; maximum 1000000000
- Cylinder height — minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Cylinder radius | 5 |
| Cylinder height | 8 |
Maximum side =7.0711; cube volume =353.553.
Assumptions and limits
- The cube is centered and aligned with the cylinder axis.
- Radius and height use one length unit and the cylinder and cube are ideal solids.
- Rotated packing, clearance, wall thickness, and manufacturing tolerances are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
No saved result was found. Please run the calculation first, then choose Download again.