Eights of butter

How many eights of butter (1/8 of kg = 125 g) can be stored in a box with dimensions of 4 dm, 2 dm, 1.8 dm, if the eighth of butter has dimensions of 8 cm, 5 cm, 3 cm?

Correct answer:

n =  120

Step-by-step explanation:

$$\begin{gathered} a=4\text{ dm}\to \text{ cm}=4\cdot 10\text{ cm}=40\text{ cm } \\ b=2\text{ dm}\to \text{ cm}=2\cdot 10\text{ cm}=20\text{ cm } \\ c=1.8\text{ dm}\to \text{ cm}=1.8\cdot 10\text{ cm}=18\text{ cm } \\ x=8\text{ cm } \\ y=5\text{ cm } \\ z=3\text{ cm } \\ {n}_1=a\mathrm{/}x=40\mathrm{/}8=5 \\ {n}_2=b\mathrm{/}y=20\mathrm{/}5=4 \\ {n}_3=c\mathrm{/}z=18\mathrm{/}3=6 \\ n=n_1\cdot n_2\cdot n_3=5\cdot 4\cdot 6=120 \end{gathered}$$

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