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Question

3 cubes each side 6 cm are joined end to end. Find LSA, TSA & volume of the new solid.

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Solution

Length of each edge of a cube = 6 cmNow, when 3 cubes having each side 6 cm are joined end to end, then a cuboid is formed.Now, length of the cuboid, l = 18 cmbreadth of cuboid, b = 6 cmheight of cuboid, h = 6 cmNow, LSA = 2l+bh = 218+6×6 = 2 × 24 × 6 = 48 × 6 = 288 cm2TSA = 2lb + bh + hl = 218×6+6×6+6×18 = 2108+36+108 = 504 cm2Volume = lbh = 18 × 6 × 6 = 648 cm3

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