The external length, breadth and height of a closed rectangular wooden box are 18cm, 10cm and 6cm respectively and thickness of wood is `1/2c mdot` When the box is empty, it weight `15kg` and when filled with sand it weighs `100kg`. Find the weight of one cubic cm of weed and cubic `cm` of sand.

Explanation

Answer
l `=18cm`,b`=10cm`,h`=6cm`,t`=1/2cm`
Volume of wood `=`L `xx` B `xx` H `-` l `xx` b `xx` h
`= 18 xx 10 xx 6 − 17.5 xx 9.5 xx 5.5`
`= 18 xx 10 xx 6-17.5 xx 9.5 xx 5.5`
`=165.625cm^3`
Volume of sand `=` l `xx` b `xx` h `= 911.375`
`=` l `xx` b `xx` h `=911.375`
Weight of `1c m^3 cm^3` of wood `=15/165.625 = 0.090 k g /cm^3 0.090kg/cm^3 = 90 g/cm^3 =90g/cm^3`
Weight of `1cm^3` of wood `= 85 914.325 = 0.093 g /cm^3 85914.325=0.093g/cm^3 = 93 g /cm^3`
`=93g/cm^3`.
Hence the answer is obtained.