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!!
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.