Question

A closed wooden box $80cm$ along, $65cm$ wide and $45cm$ high, is made of $0.5-cm$-thick wood. Find the capacity of the box and its weight if $100c{m}^3$ of wood weights $8g$.

Answer 1

Outer length of the box = $80cm$

Outer width of the box = $65cm$

Outer height of the box = $45cm$

Since thickness of wood is $0.5cm$

Then inner length of the box$=80–2\ast 0.5=79cm$

inner width of the box$=65–2\ast 0.5=64cm$

inner height of the box$=45–2\ast 0.5=44cm$

Capacity of the box$=79\ast 64\ast 44=222,464c{m}^3$

And

Volume of wooden box $=80\ast 65\ast 45-79\ast 64\ast 44$

$=234,000-222,464=11,536c{m}^3$

Weight of 100 $c{m}^3$of wood$=8g$

Weight of$11,536c{m}^3$ of wood$=\left(8/100\right)\ast 11,536=922,88g$