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cluponka [151]
3 years ago
10

An engineer designs a new cargo ship to transport 12,000 standard shipping containers. The ship's cargo hold and a shipping cont

ainer 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?
Mathematics
1 answer:
snow_tiger [21]3 years ago
8 0

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

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