Mausoleum of the emperor Diocletian

Mausoleum of the emperor Diocletian

History is the teacher of life.

Historia est magistra vitae.

Diocletian's mausoleum is part of the emperor's palatial complex in the heart of Split. The building, which was constructed at the run of the 4th century AD, is still in use today. Its original function was to house the emperor's remains after his death, but in 653 the mausoleum was consecrated by the first bishop and patron saint of Split Saint Domnius, whose relics are the part of the cathedral's treasury, and has been the city's cathedral ever since.

Under golden Sun

The ancient mausoleum of the emperor Diocletian has an octagonal exterior and a circular interior layout.

The following pictures show the cross-section and the layout of the mausoleum.

cross-section of the mausoleum

layout of the mausoleum

1.

How many blocks of stone is needed for paving the walls of the ancient mausoleum if the dimensions of one block of stone are 1.89 m x 0.95 m ?

2.

Bottom view of the dome

Calculate the mass of air contained in the inner part of the mausoleum if the density of air is 1, 225 kg/m^3 ? What is the mass of oxygen contained in the inner part of the mausoleum if the percentage of oxygen in air is 21% and the density of oxygen 1.429 kg/m^3 ?