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, and 1.8 dm if an eighth of butter has dimensions of 8 cm, 5 cm, 3 cm?

Correct answer:

n =  120

Step-by-step explanation:

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

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