SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

Volume, SM-Bank 132

  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)
Show Answers Only

a.    \(\text{A parallelogram}\)

b.    \(279.972\ \text{cm}^3\)

Show Worked Solution

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

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

\(A\) \(=b\times h\)
  \(=6.6\times 4.2\)
  \(=27.72\ \text{cm}^2\)

 

\(V\) \(=A\times h\)
  \(=27.72\times 10.1\)
  \(=279.972\ \text{cm}^3\)