Copper plate

Calculate the thickness of the copper plate with a density 8.7 g/cm³ measuring 1.5 meters and 80 cm and its weight is 3.65 kg

Correct answer:

h =  0.3496 mm

Step-by-step explanation:

$$\begin{gathered} m=3.65\text{ kg}\to \text{ g}=3.65\cdot 1000\text{ g}=3650\text{ g } \\ \rho =8.7{\text{g/cm}}^3 \\ a=1.5\text{ m}\to \text{ cm}=1.5\cdot 100\text{ cm}=150\text{ cm } \\ b=80\text{ cm } \\ S=a\cdot b=150\cdot 80=12000{\text{cm}}^2 \\ V=m\mathrm{/}\rho =3650\mathrm{/}8.7={\displaystyle \frac{36500}{87}}\doteq 419.5402{\text{cm}}^3 \\ {h}_1=V\mathrm{/}S=419.5402\mathrm{/}12000={\displaystyle \frac{73}{2088}}\doteq 0.035\text{ cm } \\ h=h_1\to \text{ mm}=h_1\cdot 10\text{ mm}=0.035\cdot 10\text{ mm}=0.35\text{ mm}=0.3496\text{ mm} \end{gathered}$$

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