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Volume, SM-Bank 131

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

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

b.    \(28.8\ \text{m}^3\)

Show Worked Solution

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

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

\(A\) \(=\dfrac{1}{2}\times x\times y\)
  \(=\dfrac{1}{2}\times 3\times 4.8\)
  \(=7.2\ \text{m}^2\)

 

\(V\) \(=A\times h\)
  \(=7.2\times 4\)
  \(=28.8\ \text{m}^3\)