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

Answer:

Vol=$450,000m^3$

Step-by-step 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.

$V_c=whl\\V_c=2.5m\times2.5m\times6m\\V_c=37.5m^3$

Volume of ship,$V_s$

$V_s=nV_c$

But n=12000

$V_s=12000\times37.5m^3\\=450,000m^3$