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Volume, SM-Bank 136

  1. What shape best describes the uniform cross-section of this prism?  (1 mark)

  2. Calculate the volume of the prism in cubic centimetres.  (2 marks)
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a.    \(\text{A rhombus}\)

b.    \(497.664\ \text{cm}^3\)

Show Worked Solution

a.    \(\text{The uniform cross-section is a rhombus.}\)

b.    \(\text{Area of rhombus cross-section }\)

\(A\) \(=\dfrac{1}{2}\times x\times y\)
  \(=\dfrac{1}{2}\times 9.6\times 7.2\)
  \(=34.56\ \text{cm}^2\)

 

\(V\) \(=A\times h\)
  \(=34.56\times 14.4\)
  \(=497.664\ \text{cm}^3\)