Question

A rectangular tank can hold $1050$ litres of oil, if it is $120$ cm long and $250$ cm wide, find the height of the oil tank.

• A. $20$ cm
• B. $35$ cm
• C. $12$ cm
• D. $30$ cm

Answer 1

Answer: (B)

$35$ cm

First convert $litres$ into $c{m}^3$

$1litres=1000c{m}^3$

$\therefore 1050litres=1050\ast 1000=1050000c{m}^3$

$Volumeofcuboid=length\ast breadth\ast height$

We know that,

$volume=1050000c{m}^3$

$length=120cm$

$breadth=250cm$

Therefore, substituting the above values in the formula we get,

$\Rightarrow 1050000=120\times 250\times height$

$\Rightarrow 1050000=30000\times height$

$\Rightarrow height=\frac{1050000}{30000}$

$\Rightarrow height=30cm$