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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
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B
1231
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C
1131
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D
1334
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Solution

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
= (edge)3
volume of big cubical box
= (22)3=22×22×22
volume of cubical sweet box
= (2)3=2×2×2

Number of sweet boxes can be packed =volume of big cubical boxvolume of cubical sweet box

=22×22×222×2×2
= 1331
Therefore, 1331 sweat boxes can be packed in the given big box.

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