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in Surface Areas And Volumes by (29.9k points)
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How many soap cakes each measuring 7 cm 7cmx 5 cm x 2.5 cm can be placed in a box of size 56cm x 40 cm x 25 cm?

1 Answer

+1 vote
by (30.3k points)
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Best answer

We know that, 

Volume of cuboid = Length × Breadth × Height 

Therefore, 

Volume of a soap cake = 7 × 5 × 2.5 

= 87.5 cm3 

Also, 

Volume of the box = 56 × 40 × 25 

= 56000 cm3 

Therefore, 

Number of soap cakes = \(\frac{56000}{87.5}\)

= 640 units 

Hence, 

640 cakes of soap can be placed in a box of the given size

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