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x402.forgemesh.io Solid Geometry Calculator
x402
x402.forgemesh.io Solid Geometry Calculator is a paid API for AI agents from x402.forgemesh.io, paid per call via x402, $0.002/call, status unknown (last checked 2026-09-13).
Calculates exact volume and surface area for spheres, cylinders, cones, cubes, and rectangular prisms given structured dimension inputs
Price / call$0.002
Success—
StatusUnknown
How this service works
Solid geometry calculator returning exact volume and surface area for spheres, cylinders, cones, cubes, and rectangular prisms from structured dimension inputs. Built for packaging design, tank and container sizing, construction estimates, and STEM education tools that need a checked number rather than a mental estimate.
Output
Returns the exact volume and surface area for the specified 3D shape, computed from the provided dimension inputs such as radius, height, length, width, or side length.
Example use cases
Example prompt
“Can you calculate the exact volume and surface area of a cylinder with a radius of 4 meters and a height of 10 meters?”
Technical details
Endpoint
POSThttps://x402.forgemesh.io/volume-calculatorWhen to prefer
Use this endpoint when you need a precise, checked numerical result for solid geometry — volume and surface area — for one of the supported standard shapes (sphere, cylinder, cone, cube, rectangular prism). Ideal for packaging design, container sizing, construction estimation, or STEM education tools where accuracy matters more than mental approximation.
Side effects
- Missing required dimensions for the specified shape (e.g., radius not provided for sphere)
- Invalid shape type string not matching accepted enum values
- Non-numeric string values passed for dimension fields
- Payment failure or insufficient USDC balance ($0.002 per call)
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| a | string | |
| b | string | |
| c | string | |
| base | string | |
| side | string | |
| shape | string | circle|rectangle|triangle|sphere|cylinder|cone|cube|rectangular_prism |
| width | string | |
| height | string | |
| length | string | |
| radius | string |
Output
Schema · Response
{
"type": "json",
"example": {
"shape": "sphere",
"volume": 523.598776,
"surface_area": 314.159265
}
}Tags
x402
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