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Construct a cube and a pyramid Question

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

3D version of an L-tromino

Puzzle 1. Use 9 of the above L-shaped pieces to make a cube.

Puzzle 2. Use 10 of the above L-shaped pieces to make the following “pyramid” shape:

Slanted pyramid. Bottom layer is 4x4 unit cubes. Layers above that are 3x3 unit cubes then a 2x2 layer and lastly, on top, a single unit cube

puzzles 3-dimensional

posted 5 months ago

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23m ago

will.octagon.gibson‭

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Could potentially be two questions with links between (2 comments)

1 answer

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Puzzle 1 (cube) step 1! Click here to reveal

You can make a 1x2x3 block using two L’s as shown:

1x2x3 block

Puzzle 1 (cube) step 2! Click here to reveal

Make three 1x2x3 blocks and position them as shown:

Three 1x2x3 blocks partially complete the cube.

Puzzle 1 (cube) step 3! Click here to reveal

Lastly add three L’s to fill the gap. Put a pink one at the bottom, a gray one in the middle level, and finally another pink one at the top as shown:

Added three L’s to complete the cube.

Puzzle 2 (pyramid)! Click here to reveal

Solution (the L’s are labelled 0 through 9):

Pyramid solution showing all four levels. The L’s are labelled 0 through 9.

posted 4 months ago