Question

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?

Answer 1

Answer:
`35,000\ cm^3`

Explanation:

Given

The earring box has a volume of
`a=5\ cm`

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
`7* 10=70\ \text{boxes}`

The volume of each earring box is

`V_o=a^3=5^3\\V_o=125\ cm^3`

Four layers can hold
`4* 70=280\ \text{boxes}`

the container can hold 280 boxes

`\therefore \text{Volume of container is}\ V=280V_o\\\Rightarrow V=280* 125=35000\ cm^3`