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:

c=1.5=3 eur/m2 a=4.5 m b=2.5 m c=3 m  S=a⋅ b+2⋅ (a+b)⋅ c=4.5⋅ 2.5+2⋅ (4.5+2.5)⋅ 3=2134=53.25 x=c⋅ S=3⋅ 53.25=6394=159.75 Eurc=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=\dfrac{ 213 }{ 4 }=53.25 \ \\ x=c \cdot \ S=3 \cdot \ 53.25=\dfrac{ 639 }{ 4 }=159.75 \ \text{Eur}

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