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Volume, SM-Bank 121

The prism above is a triangular prism.

  1. Calculate the volume of the prism in cubic centimetres.  (2 marks)

  2. Calculate the capacity of the prism in litres.  (1 mark)
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a.    \(103.23\ \text{cm}^3\)

b.    \(0.10323\ \text{L}\)

Show Worked Solution

a.    \(\text{Note: Convert mm to cm before calculations}\)

\(\text{Cross-sectional area}(A)\) \(=\dfrac{1}{2}\times b\times h\)
  \(=\dfrac{1}{2}\times 6.2\times 4.5\)
  \(=13.95\ \text{cm}^2\)

 

\(V\) \(=A\times h\)
  \(=13.95\times 7.4\)
  \(=103.23\ \text{cm}^3\)

 
b.    \(\text{1 L}=\text{1000 cm}^3\)

 \(\text{Capacity}\) \(=\dfrac{103.23}{1000}\ \text{L}\)
  \(=0.10323\ \text{L}\)