Question

There is a big cubical box of edge 22 cm. There are small sweet boxes in the shape of cubes of edge 2 cm which are to be packed in the box, so that no space is left. Find how many sweet boxes can be packed in the big cubical box?

• A. 1331
• B. 1231
• C. 1131
• D. 1334

Answer 1

The correct option is A 1331

Given:
Edge of big cubical box = 22 cm.
Edge of cubical sweet box = 2 cm.
We know that,

volume of cube
= $({\text{edge)}}^3$
$\therefore$ volume of big cubical box
= $(22{)}^3=22\times 22\times 22$
volume of cubical sweet box
= $(2{)}^3=2\times 2\times 2$

Number of sweet boxes can be packed $=\frac{\text{volume of big cubical box}}{\text{volume of cubical sweet box}}$

$=\frac{22\times 22\times 22}{2\times 2\times 2}$
= 1331
Therefore, 1331 sweat boxes can be packed in the given big box.