Question

The length of a cuboid having breadth = 4 cm, height = 4 cm and total surface area = 148 cm², is __________.

Answer 1

Let the length of the cuboid be l cm.

Breadth of the cuboid, b = 4 cm

Height of the cuboid, h = 4 cm

Now,

Total surface area of the cuboid = 148 cm² (Given)

$\Rightarrow 2\left(lb+bh+hl\right)=148$

$\Rightarrow l\times 4+4\times 4+4\times l=74$

$\Rightarrow 4l+4l=74-16$

$\Rightarrow 8l=58$

$\Rightarrow l=\frac{58}{8}=7.25\mathrm{cm}$

Thus, the length of the cuboid is 7.25 cm.

The length of a cuboid having breadth = 4 cm, height = 4 cm and total surface area = 148 cm², is ___7.25 cm___.