Article : Pyramids - Colegiul National C. Negruzzi (Iași - Roumanie)

Résumé de la production
The tower is built of matching cubes, of side 1, stacked one over the other and glued to the corner of a wall.
Calculate the number of cubes used to build a tower of height of 30.
A number n≥3 of cubes placed side by side covers perfectly a square. Calculate the values of n such that we can build a pyramid (as the initial tower) rearranging the cubes, without remaining any unused cubes. For every found value of n calculate the height of the built pyramid.
Build a regular triangular pyramid by overlapping some spheres of diameter 1 (instead of cubes). Calculate the height of such a pyramid formed with 1330 balls.
Find the volume of the minimal tetrahedron in which the pyramid found at point c) can be inscribed.
Mots clés
pyramide
cube
empilement
sphère
volume
récurrence