Cubes from beam

The edge of the cube-shaped die is 3.5 cm long. How many of these cubes can be made from an oak beam 3.5 m long and a square cross-section with a side 35 cm long?

Final Answer:

n =  10000

Step-by-step explanation:

$$\begin{gathered} x=3.5\text{cm} \\ {V}_1=x^3=3.5^3=\frac{343}{8}=42\frac{7}{8}=42.875{\text{cm}}^3 \\ a=3.5\text{m}\to \text{cm}=3.5\cdot 100\text{cm}=350\text{cm} \\ b=35\text{cm} \\ c=35\text{cm} \\ {V}_2=a\cdot b\cdot c=350\cdot 35\cdot 35=428750{\text{cm}}^3 \\ n=V_2/V_1=428750/42.875=10000 \end{gathered}$$

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