The surface area of a cuboid is 758 cm2. Its length and breadth are 14 cm and 11 cm respectively.
Question:

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

Solution:

Length of the cuboid = 14 cm
Breadth of the cuboid = 11 cm
Let the height of the cuboid be x cm.
Surface area of the cuboid = 758 cm2

Then $758=2(14 \times 11+14 \times x+11 \times x)$

$\Rightarrow 758=2(154+14 x+11 x)$

$\Rightarrow 758=2(154+25 x)$

$\Rightarrow 758=308+50 x$

$\Rightarrow 50 x=758-308=450$

$\Rightarrow x=\frac{450}{50}=9$

∴ The height of the cuboid is 9 cm.

 

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