Growing with Applied Mathematics Experiences (G.A.M.E.)

Geometry in my country

,,Gaudeamus” high-school, Moldova

Duca Zlata

The Cathedral of Christ's Nativity https://www.geogebra.org/m/zbw7ge7d

The Cathedral of Christ's Nativity (Romanian: Catedrala Mitropolitană Nașterea Domnului, Russian: Собор Рождества Христова) is the main cathedral of the Moldovan Orthodox Church in Sectorul Centru, Moldova. It was commissioned by the governor of New Russia, Prince Mikhail Semyonovich Vorontsov, and Metropolitan Gavril Bănulescu-Bodoni in 1830.

The cathedral was built in the 1830s to a Neoclassical design by Abram Melnikov (who had designed a similar church in Bolhrad). The cathedral was bombed during World War II, and its bell tower was destroyed by the local Communists in 1962. The new bell tower was constructed in 1997. During the Soviet period, worship was prohibited and the cathedral was transformed into an exhibition center.

The Cathedral has three levels which need to be painted. The first level’s face has 2,74 units the length and 2,69 units the width. The second has 2,16 units and 2 units. The third has 2,15 units and 1,52 units. How much paint would they need to paint it, if they spend 1 kg of paint per 0,4 units?

A1=(L1*l1)*4=2,74*2,69*4=29,4824 (units)

A2=(L2*l2)*4=2,16*2*4=17,28 (units)

A3=(L3*l3)*4=2,15*1,52*4=13,072 (units)

Atotal=A1+A2+A3=29,4824+17,28+13,072=59.8344 (units)

0,4 units … 1kg 59,8 units … x kg

Answer: approximately 149,5 kg