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.
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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