Copper plate

A copper plate 9 m long and 56 cm wide weighs 48.38 kg. What is the thickness of the plate if 1 m³ of copper weighs approximately 8700 kg?

Final Answer:

x =  1.1034 mm

Step-by-step explanation:

$$\begin{gathered} m=48.38\text{kg} \\ a=9\text{m} \\ b=56\text{cm}\to \text{m}=56:100\text{m}=0.56\text{m} \\ \rho =8700{\text{kg/m}}^3 \\ m=\rho V \\ V=m/\rho =48.38/8700\doteq 0.0056{\text{m}}^3 \\ V=abc \\ c=\frac{V}{a\cdot b}=\frac{0.0056}{9\cdot 0.56}\doteq 0.0011\text{m} \\ x=c\to \text{mm}=c\cdot 1000\text{mm}=0.0011\cdot 1000\text{mm}=1.103\text{mm}=1.1034\text{mm} \end{gathered}$$

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