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.
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.
- Choose rectangle, circle or triangle.
- Enter the dimensions defined by the selected shape.
- 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 questions
- Can I use this for irregular shapes?
- Break irregular geometry into measured simple shapes and total them, or complete a detailed takeoff.
- Does it add waste?
- No. This is a geometry utility; material-specific tools handle waste separately.
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