1
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Question

# A box made up of tin sheets measures length 9 m, breadth 2 m and height 3.5 m. Then maximum number of cubical cartons of edge 0.5 m be stored in the box is

A
1000
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B
1200
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C
504
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D
500
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Solution

## The correct option is C 504Given that the dimensions of box are 9 m × 2 m × 3.5 m. Edge of cubical carton = 0.5 m Let n be the number of cubical cartons. ∴ Volume of box = n × Volume of 1 cubical carton ⇒9×2×3.5=n×(0.5)3 ⇒n=9×2×72(12)3 ⇒n=9×7×8 ⇒n=504 Therefore, maximum 504 cubical cartons can be stored in the box. Hence, the correct answer is option (c).

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