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Volume, SM-Bank 059

During the construction of a new house a concrete slab in the shape of a rectangular prism is to be poured.

The slab measures 20 m × 15 m × 0.15 m.

  1. Find the volume of the concrete required for the slab in cubic metres.  (2 marks)

  2. Calculate the cost of the concrete if it costs $350 per cubic metre.  (2 marks)

Show Answers Only

a.    \(45\ \text{m}^3\)

b.    \($15\ 750\)

Show Worked Solution
a.     \(V\) \(=Ah\)  
  \(V\) \(=(20\times 15)\times 0.15\)
    \(=45\ \text{m}^3\)

 

b.    \(\text{Cost}\) \(=\text{Price}\times \text{Concrete}\)
    \(=$350\times 45\)
    \(=$15\ 750\)