the volume and total surface area of a cuboid is in ratio of 15:16 find the ratio of length and breadth
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Let the side of cube be a, three cube placed in row then breadth of cuboid be a, length of cuboid is 3a, height of cuboid is a.
Sum of total surface area of three cubes =6a
2
+6a
2
+6a
2
=18a
2
Total surface area of resulting cuboid =2(lb+bh+lh)
=2(3a×a+a×a+3a×a)
=2(7a
2
)
=14a
2
Ratio of total surface area of cuboid to that of cube =
18a
2
14a
2
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