Question

Santiago's snow globes design custom snow globes. To ship to a recent large order, Santiago's snow globes first packed individual snowglobes in Cube shaped boxes with edges 6 in Long. The boxes were packed into larger shipping container until it was completely full. the shipping container is shaped like a rectangular prism that is 24 in Long, 24 in wide, and 30 in tall. how many boxes fill the container?write the answer as a whole number or decimal. do not round.

Answer 1

we have Cube shaped boxes with the following volume

`V_b=6^3`

... and a rectangular prism with the following volume

`V_p=24\cdot24\cdot30`

In order to determine the number of boxes that fit into the container, we can divide this two volumes

`n=(V_p)/(V_b)=(24\cdot24\cdot30)/(6\cdot6\cdot6)=4\cdot4\cdot5=80`

So, we can fill the container with 80 boxes