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Question
The external dimensions of a closed wooden box are 48 cm, 36 cm, 30 cm. The box is made of 1.5 cm thick wood. How many bricks of size 6 cm x 3 cm x 0.75 cm can be put in this box?
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Solution
Given internal dimensions are
`l=48-2xx"thickness"=48-3=45cm`
`b=36-3=33cm`
`h=30-3=27cm`
∴ Internal volume =`45xx33xx27cm^3`
Volume of brick = `5xx3xx0.75cm^3`
Hence, number of bricks= `"Internal volume"/"volume of 1 brick"`
`=(45xx33xx27)/(6xx3xx0.37)`
`=(38880)/13.5`
`=2970`
`∴2970 "bricks can be kept inside the box"`
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