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Question

# A cubical box is of length 24 cm. Small soaps of measurements 6 cm × 4.5 cm × 40 mm are to be packed in the box, so that no space is left. Find how many soaps can be packed in each box?

A
183
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B
128
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C
146
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D
135
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Solution

## The correct option is B 128Given length of the cube = 24 cm. Volume of the cube = (edge)3 ∴Volume of the cubical box = (24)3=13,824 cm3 Length of soap (l) = 6 cm Breadth of soap (b) = 4.5 cm Height of soap (h) = 40mm = 4 cm Volume of soap =l×b×h =6×4.5×4 =108 cm3 ∴ Number of soaps can be put in box =Volume of boxVolume of soap =13,824108 =128 Hence, 128 soaps can be packed in the box.

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