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Volume, SM-Bank 129

Callum has designed a brick with two identical triangular sections removed as shown in the diagram below.
 

 

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

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\(19\ 000\ \text{cm}^3\)

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\(\text{Area of cross-section }(A)\) \(=\ \text{Square – 2 × Triangle}\)
  \(=(25\times 25)-2\times \Bigg(\dfrac{1}{2}\times 10\times 15\Bigg)\)
  \(=625-150\)
  \(=475\ \text{cm}^2\)

 

\(V\) \(=A\times h\)
  \(=475\times 40\)
  \(=19\ 000\ \text{cm}^3\)

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

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