Smaller Rectangles within 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 x 10 inch square. The calculator is generic and all units can be used - as long as the same units are used for all values.
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.
Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.