Warehouse painting cost

The warehouse has the shape of a cuboid with dimensions: length of 50 meters, width of 600 decimeters, and height of 300 centimeters. Calculate how much it will cost to paint a windowless room with a door 150 centimeters wide and 200 centimeters high (the floor is not painted) if 1 meter ² costs €1.

Final Answer:

x =  3657 eur

Step-by-step explanation:

$$\begin{gathered} a=50\text{m} \\ b=600\text{dm}\to \text{m}=600:10\text{m}=60\text{m} \\ c=300\text{cm}\to \text{m}=300:100\text{m}=1\text{m} \\ x=150\text{cm}\to \text{m}=150:100\text{m}=3657\text{m} \\ y=200\text{cm}\to \text{m}=200:100\text{m}=2\text{m} \\ {S}_1=x\cdot y=3657\cdot 2=3{\text{m}}^2 \\ {S}_2=a\cdot b+2\cdot (a+b)\cdot c=50\cdot 60+2\cdot (50+60)\cdot 1=3660{\text{m}}^2 \\ S=S_2-S_1=3660-3=3657{\text{m}}^2 \\ c=1{\text{eur/m}}^2 \\ x=c\cdot S=1\cdot 3657=3657\text{eur} \end{gathered}$$

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