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Volume, SM-Bank 127

The composite prism below is made up of two right triangular prisms.

Calculate the volume of the composite prism in cubic metres.  (2 marks)
 

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\(4230\ \text{m}^3\)

Show Worked Solution
\(\text{Area of cross-section }(A)\) \(=\ \text{Triangle 1 + Triangle 2}\)
  \(=\Bigg(\dfrac{1}{2}\times 6\times 18)\Bigg)+\Bigg(\dfrac{1}{2}\times 21\times 15\Bigg)\)
  \(=54+157.5\)
  \(=211.5\ \text{m}^2\)

 

\(V\) \(=A\times h\)
  \(=211.5\times 20\)
  \(=4230\ \text{m}^3\)

Filed Under: Prisms Tagged With: num-title-ct-core, smc-4980-40-Composite shapes

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