Question

A company puts bottles of lotion into boxes that are 3 inch cubes the boxes were then packed into a shipping crate shown below how many boxes of lotion were packed into the shipping crates to fill it completely

Answer 1

where is the information for the shipping crate..u dont have enough info for me to answer the question

Answer 2

512 boxes.

Explanation:

Let n be the number of bottles of lotion.

We have been given that a company puts bottles of lotion into boxes that are 3 inch cubes the boxes were then packed into a shipping crate, whose each dimension is 2 ft.

Since the crate is a cube, so we will use formula of volume of cube to solve our given problem as the volume of n bottles of lotion will be equal to volume of crate.

1 ft = 12 inch

2 ft =24 inch

`\text{Volume of each bottle}* n=\text{Volume of crate}`

`(3\text{ cm})^3* n=(24\text{ cm})^3`

`27\text{ cm}^3* n=13824\text{ cm}^3`

`n=\frac{13824\text{ cm}^3}{27\text{ cm}^3}`

`n=512`

Therefore, there were 512 boxes of lotion were packed into the shipping crates to fill it completely.