Rectangular Solids


A lot of rectangular solids can be constructed using all solid heptominoes. The smallest edge must be greater than 1 to fill the piece with the hole. The second smallest edge must be greater than 3, because some pieces only fit a 4x4 rectangle. The solutions shown can be rearranged to solve the other rectangular solids.

2x6x63
(6x6x21)		 3x4x63
(3x12x21) 		4x7x27 6x6x21 7x9x12
2x7x54
(6x7x18) 		3x6x42
(6x6x21) 		4x9x21
(3x12x21) 		6x7x18
2x9x42
(6x9x14) 		3x7x36
(6x7x18)		 6x9x14
2x14x27
(4x7x27) 		3x9x28
(6x9x14)
2x18x21
(6x6x21)		 3x12x21

Like a woodpecker you can remove each single piece with a mouse click and then put it back again. At the top left corner you can rotate the whole solid.

A representation of the solutions using layers is also provided.