Which shapes are supported?

2D: square, rectangle, triangle, circle, trapezoid, ellipse, parallelogram and the Pythagorean theorem. 3D: cube, rectangular prism, cylinder, cone, sphere and hemisphere.

Enter any consistent unit (meters, feet, inches). Results come back in that same unit squared or cubed, so keep inputs consistent per shape.

How is the ellipse perimeter computed?

With Ramanujan’s approximation, accurate to many decimal places for all practical eccentricities.

Where do the formulas come from?

Standard Euclidean geometry definitions, evaluated by a safe local expression engine with the substituted math shown at each step.

Geometry Calculator - Area, Volume, Perimeter & Surface Area

Fourteen 2D and 3D shapes with perimeter, area, surface area, volume and diagonals - pick a shape, enter dimensions, see every step.

Inputs

Results

Enter your values - results update instantly.

How This Was Calculated

Assumptions

Recent Calculations

Every Common Shape, One Place

AiLoveKit's geometry calculator covers the shapes you actually meet in school, design and construction - from a simple square to cones, spheres and hemispheres. Each shape returns the quantities that matter (area, perimeter, volume, surface area, diagonals) with the working written out so you can follow it.

Built for Learning and for Building

Step-by-step - each result shows the substituted values, not just the answer.
2D and 3D - perimeter and area for flat shapes; volume and surface area for solids.
Instant - results update as you type; no submit buttons.

Planning quantities from these areas and volumes? Hand them to the Concrete Calculator or take them into AiLoveKit Build.