The internal length, breadth and height of a cardboard box are 6 cm, 10 cm and 12 cm, respectively. How many boxes are needed in which cubes whose volume is 2160 cm3 can be packed?

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SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 03 Jul, 2024 Shift 1)
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  1. 6
  2. 3
  3. 4
  4. 5

Answer (Detailed Solution Below)

Option 2 : 3
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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 02 Aug 2023 Shift 1)
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Detailed Solution

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Given:

Internal length of the cardboard box = 6 cm

Internal breadth of the cardboard box = 10 cm

Internal height of the cardboard box = 12 cm

Volume of each cube = 2160 cm3

Formula Used:

Volume of the cardboard box = Length × Breadth × Height

Number of boxes needed = Volume of each cube / Volume of one cardboard box

Calculation:

Volume of the cardboard box = 6 × 10 × 12

Volume of the cardboard box = 720 cm3

Number of boxes needed = 2160 / 720

⇒ Number of boxes needed = 3

The number of boxes needed is 3.

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