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$If the length, breadth and total surface area of a cuboid are 15 cm, 10 cm and 1300 {cm}^{2}, then its height is$

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15 cm

20 cm

25 cm

30 cm

answer is B.

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Detailed Solution

Cuboid:

$l = 15 c m, b = 10 c m$

T.S.A.

$= 1300 c m 2$

$2 l b + b h + h l = 1300$

$15 × 10 + 10 h + 15 h = 650$

$25 h = 650 − 150$

$25 h = 500$

$h = 50025 = 20$

$∴ height of cuboid h = 20 c m$

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