Answer: [tex]35,000\ cm^3[/tex]
Step-by-step explanation:
Given
The earring box has a volume of [tex]a=5\ cm[/tex]
It is packed and loaded in the container which has 4 layers and each layer has 7 rows and 10 columns
We can say that each layer can hold [tex]7\times 10=70\ \text{boxes}[/tex]
The volume of each earring box is
[tex]V_o=a^3=5^3\\V_o=125\ cm^3[/tex]
Four layers can hold [tex]4\times 70=280\ \text{boxes}[/tex]
the container can hold 280 boxes
[tex]\therefore \text{Volume of container is}\ V=280V_o\\\Rightarrow V=280\times 125=35000\ cm^3[/tex]
