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An article is of size 9cm×6cm×3cm. The number of such articles that can be packed in a box measuring 63cm×42cm×21cm is:

  1. A
    343
  2. B
    243
  3. C
    49
  4. D
    196

Solution & Step-by-step Explanation

To find the number of articles that can be packed in the box, we divide the total volume of the box by the volume of a single article.
Volume of the box=63×42×21cm
3

Volume of an article=9×6×3cm
3

Number of articles=
9×6×3
63×42×21


We can simplify this by dividing individual dimensions:

9
63

=7
6
42

=7
3
21

=7
Number of articles=7×7×7=7
3
=343

Practice this question

Try it yourself before checking the explanation above.

An article is of size 9cm×6cm×3cm. The number of such articles that can be packed in a box measuring 63cm×42cm×21cm is:
A
343
B
243
C
49
D
196

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