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Volume, SM-Bank 058

A rectangular sand pit measures 150 cm × 200 cm × 45 cm.

  1. Find the volume of the sand pit in cubic centimetres.  (2 marks)

  2. How many cubic metres of sand will the sand pit hold?  (1 mark)

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a.    \(1\ 350\ 000\ \text{cm}^3\)

b.    \(1.35\ \text{m}^3\)

Show Worked Solution
a.     \(V\) \(=Ah\)  
  \(V\) \(=(150\times 200)\times 45\)
    \(=1\ 350\ 000\ \text{cm}^3\)

 
b.    \(1\ \text{m}=100\ \text{cm}\)

\(\therefore\ 1\ \text{m}^3=(100\times 100\times 100)\ \text{cm}^3\)

\(\therefore\ 1\ 350\ 000\ \text{cm}^3\) \(=\Bigg(\dfrac{1\ 350\ 000}{100\times 100\times 100}\Bigg)\ \text{m}^3\)
  \(=1.35\ \text{m}^3\)

 
\(\therefore\ \text{The sandpit will hold }1.35\ \text{cubic metres of sand.}\)