Question

The surface area of a cuboid is 4150 cm${}^2$. If its length and breadth are 35 cm and 25 cm respectively, find its height.

Answer 1

Let $h$ be the height of cuboid.

Length of cuboid $\left(l\right)=35cm$

Breadth of cuboid $\left(b\right)=25cm$

Surface area of cuboid $=4150{cm}^2$

We know that,

Surface area of cuboid $=2(lb+bh+hl)$

Therefore,

$2(lb+bh+hl)=4150$

$\Rightarrow 35\times 25+25h+35h=\frac{4150}{2}$

$\Rightarrow 60h=2075-875$

$\Rightarrow h=\frac{1200}{60}$

$=2cm$

Hence, the height of the cuboid is $2cm$.