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Volume, SM-Bank 125

Ben is designing blocks for a children's game. The block below is in the shape of a right prism and the dimensions are shown in the diagram.
 

Calculate the volume of the block in cubic centimetres.  (3 marks)

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\(0.594\ \text{m}^3\)

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\(\text{Area of cross-section }\) \(=\ \text{Rectangle + Triangle}\)
  \(=(8\times 6)+(\dfrac{1}{2}\times 6\times 4)\)
  \(=48+12\)
  \(=60\ \text{cm}^2\)

 

\(V\) \(=A\times h\)
  \(=60\times 7\)
  \(=420\ \text{cm}^3\)

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

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