The Smiths are moving from New Jersey to South Africa. They pack their belongings in rectangular creates

The Smiths are moving from New Jersey to South Africa. They pack their belongings in rectangular creates and hire a box to ship the crates across land and sea. The crates are made specifically to fit inside the boxcar with their cases facing down.

Each create has a base 5 m long by 1.5 m wide and height 2 m.

The boxcar is 20 m long, 3 m wide and 4 m high.

How many creates can the Smiths fit into one boxcar?

Sorry it's so long I just copied and pasted. Please Help!!

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  1. 16 crates

    Step-by-step explanation:

    -This is a division problem.

    -Let x be the number of crates that will fit in to the box car.

    -To solve x, we divide the volume of the boxcar by the volume of one crate:

    [tex]V=lwh\\\\l=length\\w=width\\h=height\\\\V_{bc}=20m\times 3m\times 4m\\\\=240\ m^3\\\\V_c=lwh\\\\=5m\times1.5m\times 2m\\\\=15\ m^3\\\\\therefore x=\frac{V_{bc}}{V_c}\\\\=\frac{240}{15}\\\\=16\ crates[/tex]

    Hence, 16 crates will fit in the boxcar.

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