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 1331Given: 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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