Painter

How many euros we will pay for repainting the room shaped cuboid with a length of 4.5 meters, width of 2.5 meters and a height of 3 meters, if for 1 m² with paint we pay € 1.5?

Correct result:

x =  159.75 Eur

Solution:

$$\begin{gathered} c=1.5=3{\text{eur/m}}^2 \\ a=4.5\text{ m } \\ b=2.5\text{ m } \\ c=3\text{ m } \\ S=a\cdot b+2\cdot (a+b)\cdot c=4.5\cdot 2.5+2\cdot (4.5+2.5)\cdot 3={\displaystyle \frac{213}{4}}=53.25 \\ x=c\cdot S=3\cdot 53.25={\displaystyle \frac{639}{4}}={\displaystyle \frac{639}{4}}\text{ Eur}=159.75\text{ Eur} \end{gathered}$$

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