A concrete construction comprising a bottom wall and a plurality of sidewalls extending upright from the bottom wall, each sidewall being made of concrete and having a generally overall corrugated cross section with alternating recesses and ridges extending in a substantially vertical direction. The construction further comprises a top wall intersecting the sidewalls at upper edges thereof, the top wall being made of concrete and having a top face generally parallel to an under face, the under face having a generally corrugated relief with alternating recesses and ridges extending in a substantially horizontal direction. This construction is characterized in that it is an overall shell-like monolithic construction with an overall generally corrugated configuration. The overall corrugated configuration of the walls, the ceiling and the floor allows the thickness of the walls to be greatly reduced without reducing the strength of the construction. On the contrary this configuration allows an increase in the strength of the building while at the same time allowing a great reduction of the weight thereof and an increase in the moment of inertia.