Boards 5926

How much do we pay for 15 pieces of boards 6 m long, 15 cm wide, and 25 mm thick if 1 m³ of boards costs 130 €? Round the price to the whole of €.

Correct answer:

x =  44 Eur

Step-by-step explanation:

$$\begin{gathered} a=6\text{m} \\ b=15/100=\frac{3}{20}=0.15\text{m} \\ c=25/1000=\frac{1}{40}=0.025\text{mm} \\ {V}_1=a\cdot b\cdot c=6\cdot 0.15\cdot 0.025=\frac{9}{400}=0.0225{\text{m}}^3 \\ {V}_2=15\cdot V_1=15\cdot 0.0225=\frac{27}{80}=0.3375{\text{m}}^3 \\ x=130\cdot V_2=130\cdot 0.3375=44\text{Eur} \end{gathered}$$

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