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: $35,000\ cm^3$

Step-by-step 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 $7\times 10=70\ \text{boxes}$

The volume of each earring box is

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

Four layers can hold $4\times 70=280\ \text{boxes}$

the container can hold 280 boxes

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