Respuesta :
where is the information for the shipping crate..u dont have enough info for me to answer the question
Answer:
512 boxes.
Step-by-step 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
[tex]\text{Volume of each bottle}\times n=\text{Volume of crate}[/tex]
[tex](3\text{ cm})^3\times n=(24\text{ cm})^3[/tex]
[tex]27\text{ cm}^3\times n=13824\text{ cm}^3[/tex]
[tex]n=\frac{13824\text{ cm}^3}{27\text{ cm}^3}[/tex]
[tex]n=512[/tex]
Therefore, there were 512 boxes of lotion were packed into the shipping crates to fill it completely.
