Area & Volume Calculator Online
Free area calculator online for all geometric shapes. Compute area of composite shapes, irregular shape area calculator, surface area volume calculator, volume of figures calculator, and 3D shape volume calculator. The area formula calculator and volume formula calculator show step-by-step working for every calculation.
Use this area of composite shapes calculator to compute area of compound shapes by adding or subtracting simple shapes. Add multiple shapes below for irregular shape area calculator results.
Area & Volume Formulas: Complete Reference for All Shapes
This area calculator online implements all standard geometry formulas. The area formula calculator and volume formula calculator use the following equations for every shape, making it a complete area surface area and volume calculator for students, engineers, and designers.
2D Area Formulas (Area of Shapes Calculator)
| Shape | Area Formula | Variables |
|---|---|---|
| Rectangle | A = length × width | Area width and length calculator |
| Square | A = side² | Volume square calculator (for 3D: V=s³) |
| Triangle | A = 0.5 × base × height | Find the area of a shape calculator |
| Circle | A = π × r² | Area size calculator - radius input |
| Ellipse | A = π × a × b | Semi-major and semi-minor axes |
| Trapezoid | A = 0.5 × (a + b) × h | Parallel sides and height |
| Parallelogram | A = base × height | Area measurement calculator |
| Rhombus | A = 0.5 × d1 × d2 | Diagonal lengths d1, d2 |
3D Surface Area & Volume Formulas (Shape Volume Calculator)
| 3D Shape | Surface Area Formula | Volume Formula |
|---|---|---|
| Cube | SA = 6s² | V = s³ - volume square calculator |
| Box (Rect. Prism) | SA = 2(lw + lh + wh) | V = l × w × h - dimensions calculator volume |
| Cylinder | SA = 2πr(r + h) | V = πr²h - shape volume calculator |
| Sphere | SA = 4πr² | V = (4/3)πr³ - 3D shape volume calculator |
| Cone | SA = πr(r + l) | V = (1/3)πr²h - volume of figures calculator |
| Pyramid | SA = Base + 0.5 × P × l | V = (1/3) × Base × h |
How to Calculate Area of Composite and Compound Shapes
The area of composite shapes calculator handles irregular shape area calculator tasks by decomposing complex shapes into simpler ones. For area of compound shapes calculator use:
- Identify each sub-shape in the composite or compound shape.
- Use the find the area of a shape calculator for each sub-shape individually.
- Sum areas for composite shapes where shapes are added together.
- Subtract areas for compound shapes with cutouts (e.g., a rectangle with a circular hole).
- The result is the total volume of irregular shapes calculator or area as needed.
Calculate Geometric Shapes Volume: Units
This calculate geometric shapes volume and online area calculator shapes supports all standard measurement units: cm² / cm³ for centimeters, m² / m³ for meters, in² / in³ for inches, and ft² / ft³ for feet. The area and volume calculator displays results in the selected unit automatically.