What is the price per cubic metre of timber if the folloiwing info is given?

Question

44 x 225mm Whitewood treated L/MTR 4/4.80. (4 lengths of 4.8)

Quantity 19.2 Linear metres

€2.574/ linear metre

Answer 1

Divide 2.574 by 0.044 and then by 0.225, answer 260 euros per cu.m., which looks cheap.

Answer 2

First of all determine the volume of 1 linear metre of 44 x 225

0.044 x 0.225 x 1 = 0.0099

Therefore each linear metre of 44x 225 has a volume of 0.0099 cu. metre

Next work out how many pieces you could get out of 1 cu. metre      

1/ 0.0099 = 101

So you can get 101 pieces 1 metre long of 44 x 225 out of 1 cu. metre

101 x €2.574 =   €259.97 per cubic metre.

19.2 linear metres of 44 x 225 has a volume of 0.19008 cu. metre