Part 2: Fun with Lego®: After succeeding brilliantly in DACS2101, your family o

Part 2: Fun with Lego®:
After succeeding brilliantly in DACS2101, your family offers you a huge box of Lego, consisting of 12023 bricks, all identical! Each brick is a cube a cube of side size 5 cm with 4 pins on top.
You first want to build a triangle by using the following pattern :
You then try a more complex model : the full pyramid as follows (example with 4 stages)
Since you would like to build a bigger pyramid, you cleverly change your plans and build an empty pyramid (same example with 4 stages, only the view from below change):
How many bricks are you going to use to build a triangle bigger than yourself (of height 2 meters)?
How many bricks will you need to build the twentieth stage of the full pyramid?
Do you have enough bricks to build a full pyramid of 23 stages?
What is the tallest empty pyramid that you can build? Can you fit inside?
The height of the Great Pyramid of Giza is 138.8 meters. How many bricks would you need to build an empty pyramid with Lego of the same height as the great pyramid of Giza?