Question

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

Answer 1

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
$$\begin{gathered} \mathrm{Then}758=2(14\times 11+14\times x+11\times x) \\ \Rightarrow 758=2(154+14x+11x) \\ \Rightarrow 758=2(154+25x) \\ \Rightarrow 758=308+50x \\ \Rightarrow 50x=758-308=450 \\ \Rightarrow x=\frac{450}{50}=9 \end{gathered}$$

∴ The height of the cuboid is 9 cm.