"boards" 8314

Mr. Novák buys 40 "planks" 5 m long, 15 cm wide, and 5 cm thick. The price for 1 m³ of "planks" is CZK 4,950
How much do they pay for "boards"?

Correct answer:

x =  7425 kc

Step-by-step explanation:

$$\begin{gathered} h=4950{\text{Kc/m}}^3 \\ n=40 \\ a=5\text{m} \\ b=15\text{cm}\to \text{m}=15:100\text{m}=0.15\text{m} \\ c=5\text{cm}\to \text{m}=5:100\text{m}=0.05\text{m} \\ {V}_1=a\cdot b\cdot c=5\cdot 0.15\cdot 0.05=\frac{3}{80}=0.0375{\text{m}}^3 \\ V=n\cdot V_1=40\cdot 0.0375=\frac{3}{2}=1.5{\text{m}}^3 \\ x=h\cdot V=4950\cdot 1.5=7425\text{kc} \end{gathered}$$

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