Question

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!!

Answer 1

16 crates

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:

`V=lwh\\\\l=length\\w=width\\h=height\\\\V_(bc)=20m* 3m* 4m\\\\=240\ m^3\\\\V_c=lwh\\\\=5m*1.5m* 2m\\\\=15\ m^3\\\\\therefore x=(V_(bc))/(V_c)\\\\=(240)/(15)\\\\=16\ crates`

Hence, 16 crates will fit in the boxcar.