Question

There is a cardboard of area $52c{m}^2$. If, a cuboid of breadth $4cm$ and height $3cm$ has to be created using the board, then what will be the length of the cuboid formed?

• A. $2cm$
• B. $4cm$
• C. $6cm$
• D. $8cm$

Answer 1

The correct option is A $2cm$

Let, the length of the cuboid be $l$.

We know that,
Total surface area of cuboid
$=2(l\times b+b\times h+h\times l)$
Where,
$l=\text{Length}$
$b=\text{Breadth}$
$h=\text{Height}$

Given that,
Area of the cardboard is $52c{m}^2$.
Breadth is $4cm$.
Height is $3cm$.

Now,
$\Rightarrow 2(l\times 4+4\times 3+3\times l)=52$
$\Rightarrow 7l=14$
$\Rightarrow l=2cm$