# SignalDesk AI Rectangular Prism Calculator

> SignalDesk AI Rectangular Prism Calculator is a paid API for AI agents from x402-agent.kariguetoazul.workers.dev, paid per call via x402, $0.001/call, status unknown (last checked 2026-10-13).

Computes the volume and surface area of a rectangular prism given its width, height, and length

## Facts

- Endpoint: POST https://x402-agent.kariguetoazul.workers.dev/api/math/rectangular-prism?utm_source=zero.xyz
- Price: $0.001/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-13
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/signaldesk-ai-rectangular-prism-calculator-e67b8148
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_Nejj_BAipcJv83TysNRqT

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability signaldesk-ai-rectangular-prism-calculator-e67b8148 -d '<json body>'
```

Example prompt: Can you calculate the volume and surface area of a rectangular prism that is 4 units wide, 3 units tall, and 2 units long?

## When to prefer this

Use this endpoint when you need a quick, paid, API-driven computation of rectangular prism geometry — particularly in automated agent workflows where you want a reliable, bounded math result without executing local code. Useful for packaging, manufacturing, construction, or any scenario requiring precise 3D rectangular geometry on demand.

## Known failure modes

- Missing required dimension (width, height, or length) causes validation error
- Values exceeding 1,000,000,000,000,000 or below 0 are rejected by schema constraints
- Non-numeric input for dimensions results in a type error
- Payment failure or insufficient USDC balance blocks the request under x402 protocol

## How this service works

Evidence-backed autonomous AI jobs and paid data tools. Queue/D1/cron run outside the chat; free quotas and bounded execution apply.

## Output

Returns a JSON object containing the calculated volume (width × height × length) and surface area (2×(wl + wh + lh)) of the rectangular prism as numeric values.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "width": {
   "type": "number",
   "maximum": 1000000000000000,
   "minimum": 0,
   "description": "Non-negative number."
  },
  "height": {
   "type": "number",
   "maximum": 1000000000000000,
   "minimum": 0,
   "description": "Non-negative number."
  },
  "length": {
   "type": "number",
   "maximum": 1000000000000000,
   "minimum": 0,
   "description": "Non-negative number."
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "json",
 "example": {
  "volume": 24,
  "surface_area": 52
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/signaldesk-ai-rectangular-prism-calculator-e67b8148/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from x402-agent.kariguetoazul.workers.dev](https://www.zero.xyz/host/x402-agent.kariguetoazul.workers.dev/llms.txt)