Utilities calculator

Area & volume calculator

Rectangle, circle and triangle geometry with area, perimeter and simple-prism volume displayed in multiple units.

Calculator result and formula

Rectangle area: 120 ft²

Formula: Area = L × W; Volume = L × W × depth

Formula ID: UTIL-AREA-VOLUME-002 · Version 2.0.0 · Published · Last reviewed Aug 26, 2026.

Inputs

  • Shape: Choose the measured plan shape Default: 1.
  • Dimension A / base: Rectangle length, circle diameter or triangle base Default: 12.
  • Dimension B / height: Rectangle width or triangle height; ignored for circles Default: 10.
  • Extrusion depth: Optional simple-prism depth for volume output Default: 4.

How this calculator works

This geometry hub calculates rectangular, circular or triangular plan area, perimeter and optional simple-prism volume in a transparent unit system.

  1. Choose rectangle, circle or triangle.
  2. Enter the dimensions defined by the selected shape.
  3. Use extrusion depth only when a simple-prism volume is appropriate, then pass the result to a material-specific calculator.

Worked example: Example: a 12 ft × 10 ft rectangle has 120 ft² of area. With 4 ft of extrusion depth, it contains 480 ft³; circular and triangular choices use their standard geometry formulas.

Assumptions and limitations

  • Geometry is treated as a simple rectangle using the displayed dimensions.
  • Extrusion depth creates a simple-prism volume only; it is not appropriate for tapered or irregular solids.
  • This utility does not apply a waste factor.

Common mistakes to avoid

  • Confirm the measurement basis and units before using the result.
  • Keep waste or allowance visible and adjust it for the actual job conditions.
  • Confirm supplier packaging, delivery increments, specifications, and final site requirements before ordering.

Calculator disclaimer

This planning calculator does not determine structural design, code compliance, installation requirements, or guaranteed pricing. Confirm final requirements with the appropriate responsible professional, authority, manufacturer, and supplier.

Formula review and sources

Internal QA complete · independent external review pending · Formula assumptions documented.

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