{
  "id": "pyramid-frustum-calculator",
  "version": "1.0.0",
  "name": "Pyramid Frustum Calculator",
  "shortName": "Pyramid Frustum",
  "description": "Calculate volume and surface area for a square-pyramid frustum.",
  "category": "Math & Statistics",
  "categorySlug": "math-statistics",
  "keywords": [
    "pyramid",
    "frustum",
    "calculator",
    "pyramid frustum calculator"
  ],
  "status": "live",
  "workStatus": "pending",
  "reviewStatus": "pending",
  "migrationStatus": "new",
  "engine": "native",
  "creator": null,
  "reviewer": null,
  "quality": {
    "availability": "live",
    "technicalReviewRecord": "/reviews/pyramid-frustum-calculator.json",
    "qualifiedReview": "pending",
    "qualifiedReviewer": null,
    "qualifiedReviewDate": null,
    "formulaVersion": "1.0.0",
    "referenceCoverage": "references-pending",
    "releaseTestScope": "Catalog and regression checks are not a professional formula audit; consult release evidence.",
    "historicalMetadataDate": "2026-09-01",
    "historicalMetadataNotice": "The imported date is not evidence of a completed human review."
  },
  "urls": {
    "page": "/calculator/pyramid-frustum-calculator/",
    "definition": "/calculator/pyramid-frustum-calculator/definition.json",
    "schema": "/calculator/pyramid-frustum-calculator/schema.json",
    "llms": "/calculator/pyramid-frustum-calculator/llms.txt",
    "legacyDefinition": "/calculator/pyramid-frustum-calculator.json"
  },
  "queryExample": "https://askcalculators.com/calculator/pyramid-frustum-calculator/?bottomSide=10&topSide=6&height=8",
  "queryParameters": {
    "bottomSide": {
      "label": "Bottom square side a",
      "type": "number",
      "required": true,
      "default": 10
    },
    "topSide": {
      "label": "Top square side b",
      "type": "number",
      "required": true,
      "default": 6
    },
    "height": {
      "label": "Vertical height h",
      "type": "number",
      "required": true,
      "default": 8
    }
  },
  "inputs": [
    {
      "id": "bottomSide",
      "label": "Bottom square side a",
      "type": "number",
      "required": true,
      "defaultValue": 10,
      "min": 0.000001,
      "step": 0.001
    },
    {
      "id": "topSide",
      "label": "Top square side b",
      "type": "number",
      "required": true,
      "defaultValue": 6,
      "min": 0,
      "step": 0.001
    },
    {
      "id": "height",
      "label": "Vertical height h",
      "type": "number",
      "required": true,
      "defaultValue": 8,
      "min": 0.000001,
      "step": 0.001
    }
  ],
  "outputs": [
    {
      "id": "volume",
      "label": "Volume",
      "format": "number",
      "primary": true,
      "digits": 8
    },
    {
      "id": "lateralArea",
      "label": "Lateral area",
      "format": "number",
      "digits": 8
    },
    {
      "id": "surfaceArea",
      "label": "Total surface area",
      "format": "number",
      "digits": 8
    },
    {
      "id": "slantHeight",
      "label": "Slant height",
      "format": "number",
      "digits": 8
    }
  ],
  "formula": {
    "expression": "V = h(a² + ab + b²) ÷ 3; lateral area = 2(a + b)ℓ"
  },
  "examples": [
    {
      "label": "Reproducible default-input example (not a personal recommendation)",
      "inputs": {
        "bottomSide": 10,
        "topSide": 6,
        "height": 8
      }
    }
  ],
  "sources": []
}