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Volume, SM-Bank 011

The floor of a chicken coop is in the shape of a trapezium.

The floor, \(ABCD\), and the chicken coop are shown below.
 

 

In the diagram \(AB = 3\ \text{m}, BC = 2\ \text{m and}\ \ CD = 5\ \text{m}.\)
 

  1. What is the area of the floor of the chicken coop?

     

    Write your answer in square metres.  (2 marks)


  2. If the height of the chicken coop is 2.4 metres, calculate the volume in cubic metres.  (1 mark)

Show Answers Only

a.    \(8\ \text{m}^2\)

b.    \(19.2\ \text{m}^3\)

Show Worked Solution
a.     
\(A\) \(=\dfrac{h}{2}(a+b)\)
    \(=\dfrac{2}{2}(3+5)\)
    \(= 8\ \text{m}^2\)

 

b.     \(V\) \(=Ah\)
    \(=8\times 2.4\)
    \(=19.2\ \text{m}^3\)