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

Class: 10

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5 cm

8cm

9 cm

2 cm

answer is C.

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Detailed 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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