Spruce wood

Calculate the weight of an edge made of spruce wood 6m long when the cross-section of the edge is 146cm square and if the density of the wood is 0.55 grams/cm cubic.

Final Answer:

m =  48.18 kg

Step-by-step explanation:

$$\begin{gathered} c=6\text{m}\to \text{cm}=6\cdot 100\text{cm}=600\text{cm} \\ S=146{\text{cm}}^2 \\ V=c\cdot S=600\cdot 146=87600{\text{cm}}^3 \\ \rho =0.55{\text{g/cm}}^3 \\ {m}_1=\rho \cdot V=0.55\cdot 87600=48180\text{g} \\ m=m_1\to \text{kg}=m_1:1000\text{kg}=48180:1000\text{kg}=48.18\text{kg}=48.18\text{kg} \end{gathered}$$

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