Question
What is the length of a wooden board of width 6 metres
and thickness one-third of the width? Statement I: Surface area of the board is 152 m². Statement II: Volume of the board is 96 m³.ÂSolution
Width = 6 m and thickness(height) = 2 m.(given) From I, 2(lb + bh +hl) = 152  2(l x  6 + 6 x  2 + 2 x  l) = 152  (6l + 12 + 2l) = 76  8l + 12 = 76  8l = 76 – 12  8l = 64  l = 8 m. From II, l x  b x  h = 96 l x  6 x  2 = 96 l x  12 = 96 l = 8 m. Length of the board can be found out by any of the two statements. Therefore, the question can be answered with the help of either statement alone.
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