Freezer box calculation

The freezer box has internal dimensions of 900 mm, 0.75 m, and 6 dm. 30% of the space is filled with frozen peppers packed in boxes measuring 150 mm, 100 mm, and 50 mm. How many boxes are in the box?

Final Answer:

n =  162

Step-by-step explanation:

$$\begin{gathered} a=900\text{mm} \\ b=0.75\text{m}\to \text{mm}=0.75\cdot 1000\text{mm}=750\text{mm} \\ c=6\text{dm}\to \text{mm}=6\cdot 100\text{mm}=600\text{mm} \\ q=30\%=\frac{30}{100}=\frac{3}{10}=0.3 \\ {a}_1=150\text{mm} \\ {b}_1=100\text{mm} \\ {c}_1=50\text{mm} \\ V=q\cdot a\cdot b\cdot c=0.3\cdot 900\cdot 750\cdot 600=121500000{\text{mm}}^3 \\ {V}_2=a_1\cdot b_1\cdot c_1=150\cdot 100\cdot 50=750000{\text{mm}}^3 \\ n=V/V_2=121500000/750000=162 \end{gathered}$$

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