Question

An engineer designs a new cargo ship to transport 12,000 standard shipping containers. The ship's cargo hold and a shipping container are similar rectangular prisms. A standard shipping container is 6 meters long, 2.5 m wide, and 2.5 m tall.

What is the volume of the cargo hold of the ship?

Answer 1

Vol=
`450,000m^3`

Explanation:

Volume of rectangular prism is obtained using the formula:

`V=whl\\w-width\\h-height\\l-length`

Dimensions of shipping containers is given as:

`w=2.5m\\h=2.5m\\l=6m\\`

To obtain the volume of the cargo ship, we need to calculate the volume of 1 unit of a shipping container then multiply it by the number of containers the ship can carry.

let n be the number of containers ship can carry.

`V_c=whl\\V_c=2.5m*2.5m*6m\\V_c=37.5m^3\\`

Volume of ship,
`V_s`

`V_s=nV_c`

But n=12000

`V_s=12000*37.5m^3\\=450,000m^3`