Cutting a cuboid

A cuboid can be cut into 200 cubes, each with a volume of 8 dm³. Calculate how many cubes with a volume of 1 cm³ this cuboid can be cut into without a remainder.

Final Answer:

n₂ =  1600000

Step-by-step explanation:

$$\begin{gathered} n_1=200 \\ {V}_1=8{\text{dm}}^3\to {\text{cm}}^3=8\cdot 1000{\text{cm}}^3=8000{\text{cm}}^3 \\ {V}_2=1{\text{cm}}^3 \\ V=V_1\cdot n_1=8000\cdot 200=1600000{\text{cm}}^3 \\ {n}_2=\frac{V}{V_2}=\frac{1600000}{1}=1600000 \end{gathered}$$

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