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Question
A box with lid is made of 2 cm thick wood. Its external length, breadth and height are 25 cm, 18 cm and 15 cm respectively. How much cubic cm of a liquid can be placed in it? Also, find the volume of the wood used in it.
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Solution
Given external dimensions of cuboid are
`l=25cm, b=18cm,h=15cm.`
∴External volume =`lxxbxxh`
`=25xx18xx15cm^2`
`=6750cm^2`
Internal dimension of cuboid.
`l=25-2xx"thickness"=25-4=21cm.`
`h=15-4=11cm.`
internal volume = l x b x h
`=21xx14xx11cm^3`
`=3234cm^3`
∴Volume of liquid that can be placed =`3234cm^3`
Now, volume of wood = external volume – Internal volume
`=6750-3324`
`=3516 cm^3`
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