Question

# A box is 1.5 m long, 40 cm wide, 30 cm tall. Small mobile boxes of measurements 4 cm × 4.5 cm × 40 mm are to be packed in the box, so that no space is left. Find how many mobile boxes can be packed in a box.

A
1670
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B
1666
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C
2500
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D
2576
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Solution

## The correct option is C 2500Given Length of box (l) = 1.5m = 150 cm Breadth of box (b) = 40 cm Height of box (h) = 30 cm Volume of box =l×b×h =150×40×30 =180,000 cm3 Length of mobile box = 4 cm Breadth of mobile box = 4.5 cm Height of mobile box = 40mm = 4 cm ∴ Volume of mobile box =6×4.5×4 =72 cm3 ∴ Required number of mobile boxes =Volume of box Volume of mobile box =180,00072 =2500 Hence, 2500 mobile boxes can be packed in the box.

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