Question

A box made up of tin sheets measures length 9 m, breadth 2 m and height 3.5 m. Then maximum number of cubical cartons of edge 0.5 m be stored in the box is

• A. 1000
• B. 1200
• C. 504
• D. 500

Answer 1

The correct option is C 504

Given that the dimensions of box are 9 m × 2 m × 3.5 m.

Edge of cubical carton = 0.5 m

Let n be the number of cubical cartons.

∴ Volume of box = n × Volume of 1 cubical carton

$\Rightarrow 9\times 2\times 3.5=n\times (0.5{)}^3$

$\Rightarrow n=\frac{9\times 2\times \frac{7}{2}}{{\left(\frac{1}{2}\right)}^3}$

$\Rightarrow n=9\times 7\times 8$

$\Rightarrow n=504$

Therefore, maximum 504 cubical cartons can be stored in the box.

Hence, the correct answer is option (c).