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Consider the following L-shaped 3-dimensional object made up of three unit cubes joined at their faces:

3-dimensional L shape (made of 3 unit cubes)

Use 10 of the above L-shaped pieces to make the following shape:

Slanted pyramid.  Level 1(bottom): 1x4x4 block, Level 2: 1x3x3 block, Level 3: 1x2x2 block, Level 4(top): 1x1x1 block

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1 Answer 1

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 Yes, it is possible:

 Each line below gives (x,y,z) coordinates
 of the 3 unit cubes of an L-shaped block.
The origin (0,0,0) is at the red corner unit cube not visible in the diagram.
((1, 3, 0), (0, 3, 0), (1, 2, 0)) ((0, 2, 1), (0, 1, 1), (0, 2, 0)) ((3, 0, 0), (2, 0, 0), (3, 1, 0)) ((2, 2, 1), (1, 2, 1), (2, 2, 0)) ((0, 0, 0), (0, 1, 0), (0, 0, 1)) ((1, 1, 2), (1, 0, 2), (1, 1, 1)) ((1, 0, 0), (1, 1, 0), (1, 0, 1)) ((2, 1, 1), (2, 0, 1), (2, 1, 0)) ((3, 3, 0), (2, 3, 0), (3, 2, 0)) ((0, 0, 2), (0, 1, 2), (0, 0, 3))

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