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Maximizing Space: Fit Small Rectangles Inside a Larger Rectangle

The maximum number of smaller rectangles - or squares - within a larger rectangle (or square).

The calculator below can be used to estimate the maximum number of smaller rectangles - or squares - that may fit into a larger rectangle or square. The calculator can be used to calculate applicatons like

  • the number of bricks in a wall
  • the number of rectangular cuts possible from a steel or plywood plate 

Input the large rectangle inside dimensions - and the outside dimensions of the smaller rectangles.

Default values are for 0.5 x 0.8 inch rectangle inside a 10 inch×10 inch square. The calculator is generic and all units can be used - as long as the same units are used for all values.

Rectangular Pattern

 

 

Number of smaller rectangles within a larger rectangle

Note! - the algorithm used for this tool is quite simple. Be aware that for some combinations of values more rectangles can be added by rearranging the layout.

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3.17.14

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