A jeweler has several boxes of earrings to ship to a store. Each box is a cube with a side length of 5 centimeters. The jeweler packs the boxes in a shipping container. The filled container has 4 layers, where each layer contains 7 rows and 10 columns of boxes. What is the volume of the shipping container?

Answers

Answer 1

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]


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