The length of a cuboid with breadth and height 4 cm and 6 cm respectively and total surface area as 208 $c m^{2}$ is.

4 cm

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6 cm

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8 cm

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10 cm

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Solution

The correct option is C 8 cm
Total surface area of a cuboid is given by 2(lb + lh + bh)
where l, b and h represent length, breadth and height of the cuboid repectively.
Since area is equal to 208 $c m^{2}$
2(lb + lh + bh) = 208
lb + lh + bh = 104
4l + 6l + 24 = 104
10l = 80
l = 8 cm

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