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

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SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 10 Jul, 2024 Shift 3)
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  1. 49 
  2. 343 
  3. 243 
  4. 196

Answer (Detailed Solution Below)

Option 2 : 343 
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Detailed Solution

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Given:

Article size: 9 cm × 6 cm × 3 cm

Box size: 63 cm × 42 cm × 21 cm

Concept:

To find the number of articles that can fit into the box, we need to calculate the volume of both the article and the box. Then, we will divide the volume of the box by the volume of one article. Additionally, we need to ensure that the dimensions align correctly.

Formula Used:

Volume of a cuboid = length × width × height

Calculation:

Volume of one article:

⇒ 9 cm × 6 cm × 3 cm = 162 cm3

Volume of the box:

⇒ 63 cm × 42 cm × 21 cm = 55,566 cm3

Number of articles that can fit into the box:

⇒ 55,566 cm3 / 162 cm3

⇒ 343 articles

∴ The correct answer is option 2.

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