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12Soma Cube Unit

Materia Geo Cubes

Objective: Learn about the Soma Cube and make different three dimensional shapes. Explain that students can form 10 possible
shapes using three or four geo cubes. Have
The Soma Cube is assembled using 7 of the 10 pieces that are made with them match the shapes they created in the
3 or 4 cubes. Place the shapes you made on top of the matching shapes previous exercise with the shapes shown in
below. Make shapes that you have not already made. their textbooks. If they did not form all the
shapes shown, have them use the illustrations
Assemble the cube below using all 7 of the Soma Cube pieces you made to help them make those shapes.
above.
The Soma Cube is a puzzle invented by Piet
Math Story Soma Cube Hein, a Danish mathematician. He discovered
that seven particular combinations of pieces
The Soma Cube was invented by a Danish mathematician named Piet Hein. can fit together to make a 3 3 3
One day, Piet Hein was listening to a lecture at a university. rectangular solid. He found that these pieces
This was when Piet Hein got an idea. could also make other shapes.
“Can I put small cubes together to make a new shape, and then make a
larger cube using these new shapes?” Which are the three shapes that are NOT
After experimenting with this idea, he made 7 different pieces. With these Soma Cube pieces? The pieces with three
7 pieces, he could make not only a cube, but also many different interesting and four cubes stacked in a straight line and
shapes. the 1 2 2 cube. Have them set those three
pieces aside.
12. Soma Cube 99
Have students use the seven Soma Cube
pieces to form a large cube. There are 240
possible solutions.

Example: For the first shape in the top left corner, first put the cube at a right angle to the bottom cube.
Then move the cube at a right angle to the middle cube. Have them repeat until they find eight unique
shapes.

4A Unit 12 167
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