MathematicsThe surface area of the cuboid is 758cm2. Its length and breadth are 14cm and 11cm respectively. Find the height.Class: 10

The surface area of the cuboid is 758cm2. Its length and breadth are 14cm and 11cm respectively. Find the height.


Class: 10


  1. A
    5 cm
  2. B
    8cm
  3. C
    9 cm
  4. D
    2 cm 

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    Solution:

    Given
    l = 14cm
    b = 11cm
    h = ?
    Let h = h
    Surface area of cuboid = 758cm2
    ∴ Surface area of cuboid = 2(lb + bh + hl)
    758 = 2(14 × 11 + 11 × h + h × 14)
    758 = 2 (154 + 11h + 14h)
    758 = 2(154 + 25h)
    758 = 308 + 50h
    758 – 308 = 50h
    h = 9cm
     
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