Solid Net Generator

Create printable 2D nets for 3D shapes with this interactive geometry tool

Select Shape
Cube
Cuboid
Cylinder
Cone
Pyramid
Prism
Shape Options
Educational Info
About Nets

A net is a 2D shape that can be folded to form a 3D shape. The same 3D shape can have multiple possible nets.

Classroom Ideas
  • Have students predict which net will form which shape
  • Compare different nets for the same shape
  • Calculate surface area from the net
Size & Dimensions
Scale
50% 100% 200%
Colors
Line Style
Display Mode
Export Options
Actions

Geometry Learning Guide

What This Geometry Tool Calculates

This Solid Net Generator creates 2D patterns (nets) that can be folded to form 3D geometric shapes. It calculates the precise layout of all faces, edges, and tabs needed to construct physical models of six different 3D shapes.

Geometry Concept Overview

A net is a two-dimensional pattern that can be folded to create a three-dimensional shape. Every 3D shape has at least one possible net, though many shapes (like cubes) have multiple valid net arrangements.

Cube

Properties: 6 square faces, 12 edges, 8 vertices

Net: Arrangement of 6 squares where each square shares at least one edge with another square

Cuboid (Rectangular Prism)

Properties: 6 rectangular faces (pairs of opposite faces are identical)

Net: 6 rectangles arranged so opposite faces are separated

Cylinder

Properties: 2 circular bases, 1 curved rectangular side

Net: 2 circles + 1 rectangle (width = circumference of circle)

Cone

Properties: 1 circular base, 1 curved conical surface

Net: 1 circle + 1 sector of a larger circle

Input Values Explained

Side Length (Cube)
The measurement of each equal side of the cube. All faces are squares with this dimension.
Length, Width, Height (Cuboid)
Three different measurements defining the rectangular prism. Length and width define the base rectangle, height determines how tall the shape is.
Radius and Height (Cylinder/Cone)
Radius measures from center to edge of circular base. Height measures vertical distance from base to top.
Number of Sides (Prism)
For prisms and approximation of curved surfaces. More sides create smoother cylinders/cones but generate more complex nets.
Scale Factor
Percentage adjustment of the entire net size. 100% = actual calculated dimensions.

Formula Explanations

Cube Net Formula

The cube net consists of 6 squares, each with area = side × side. The tool arranges them in a "cross" pattern (4 squares in a row with 1 above and 1 below the middle square).

Cylinder Net Formula

The rectangle's width equals the circle's circumference: 2 × π × radius. The rectangle's height equals the cylinder's height. This ensures the curved surface wraps perfectly around the circular bases.

Cone Net Formula

The sector's radius equals the slant height: √(radius² + height²). The sector's arc length equals the base circumference: 2 × π × radius. The sector angle = (arc length / slant height) in radians.

Step-by-Step Calculation Logic

  1. Shape Selection: The tool identifies which 3D shape you've selected
  2. Dimension Processing: Your input values are converted to consistent units
  3. Net Layout Calculation: The tool calculates face positions based on geometric relationships
  4. Tab Generation: If enabled, glue tabs are added to appropriate edges
  5. Label Placement: If enabled, face labels are positioned at face centers
  6. Scaling Application: The entire layout is scaled according to your scale factor
  7. Rendering: The calculated positions are drawn on the canvas

Result Interpretation Guidance

Reading Your Net
  • Solid Lines: Cut along these lines
  • Dashed/Dotted Lines: Fold along these lines (if your line style is set accordingly)
  • Colored Faces: Different face colors help distinguish faces during assembly
  • Letter Labels: Faces marked with the same letter will be adjacent in the 3D shape
  • Tabs: Glue these flaps to the inside of adjacent faces

Real-World Geometry Applications

Common Geometry Mistakes to Avoid

  • Incorrect Tab Placement: Tabs must be on the correct side of fold lines
  • Scale Discrepancies: Ensure all measurements use the same units
  • Face Orientation: Some faces must be flipped during folding - check labels
  • Approximation Errors: Cylinders/cones with too few sides won't roll smoothly
  • Print Scaling: Ensure "Fit to Page" is disabled when printing for accurate dimensions

Units and Measurement Notes

Unit Consistency: All calculations are performed in the selected units (cm, mm, or inches). The tool converts internally to pixel dimensions for display.

Print Accuracy: When printing, use the "Actual Size" or "100%" setting. Check printer margins to ensure full net visibility.

Physical Construction: For best results, use cardstock or thick paper. Score fold lines before folding for crisp edges.

Accuracy and Rounding Notes

  • Decimal Precision: Inputs accept one decimal place (0.1 increments)
  • Canvas Resolution: Display uses pixel coordinates - minor rounding occurs in rendering
  • Circle Approximation: Cylinders/cones use polygon approximation - more sides = more accurate circles
  • Export Precision: PNG exports at canvas resolution; SVG/PDF maintain mathematical precision
  • Mathematical Constants: π (pi) is approximated as 3.141592653589793 for calculations

Student Learning Tips

  1. Predict First: Before generating, try sketching what you think the net will look like
  2. Compare Shapes: Generate nets for similar shapes (cube vs. cuboid) and note differences
  3. Surface Area Calculation: Use the net to calculate surface area by summing face areas
  4. Volume Connection: Build the 3D model, then calculate volume using your dimensions
  5. Multiple Nets: Research how many different valid nets exist for a cube (there are 11!)
  6. Scale Understanding: Change scale factor and observe proportional changes

Visualization Interpretation Guide

Canvas Display
The main drawing area shows your net. Use zoom and pan controls to examine details.
Grid Overlay
When enabled, shows a 20px grid for alignment reference. Useful for measuring proportions.
Face Colors
Different colors help distinguish adjacent faces. Consistent coloring makes assembly easier.
Folding Animation
Shows conceptual 3D folding sequence. Note: This is a visualization, not exact folding instructions.
Zoom Controls
Zoom in for detail work, zoom out for overall layout. Reset returns to default view.

Accessibility Notes

Tool Information

Version: Solid Net Generator v2.1

Last Updated: January 2026

Educational Focus: Geometric visualization, spatial reasoning, measurement application

Mathematical Basis: Euclidean geometry, spatial transformations, measurement conversion

Learning Level: Middle school through college geometry

Quick Classroom Activity Ideas
  • Net Prediction: Show 3D shape, have students draw predicted nets before generating
  • Assembly Race: Teams build physical models from printed nets, timing assembly
  • Surface Area Lab: Calculate surface area from net, then verify with formula
  • Scale Project: Create scaled-up models by increasing dimensions proportionally
  • Cross-Curricular: Combine with art (decorate nets) or writing (assembly instructions)