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Volume, SM-Bank 047

A shipping container in the shape of a rectangular prism is being transported by truck to a construction site.

The dimensions of the container are marked on the diagram below and are in metres.
 

  1. Calculate the volume of the shipping container in cubic metres.   (2 marks)

  2. The shipping container is to be converted into a small lap pool on site.
    Calculate the capacity of the lap pool when full, giving your answer in kilolitres?       (1 mark)

Show Answers Only

a.    \(8.1\ \text{m}^3\)

b.    \(8.1\ \text{kL}\)

Show Worked Solution
a.     \(V\) \(=Ah\)
  \(V\) \(=1.8\times 1.5\times 3\)
    \(=8.1\ \text{m}^3\)

  
b.    \(1\ \text{m}^3=1\ \text{kL}\)

\(\therefore\ 8.1\ \text{m}^3=8.1\ \text{kL}\)

\(\therefore\ \text{Capacity of the lap pool when full is }8.1\ \text{kilolitres.}\)