Question

How many cube cm of iron are there in are open box whose external dimensions are 36 cm, 25cm and 16.5 cm, the iron being in 1.5 cm thick throughtout?

Answer 1

According to the problem,

The external volume is

$36\times 22\times 13.5$

$=14850$ cubic-cm

As given internal dimensions

to $36-2\times 1.5=33cm$

to $25-2\times 1.5=22cm$

to $16.5-2\times 1.5=$13.5 $cm$

So,

the internal volume $=33\times 22\times 13.5$

$=9801$ cubic-cm

So, Volume of the top part $36\times 25\times 1.5=1350$ cubic-cm

Therefore, Volume of box= $14850-9801-1350=3699$ cubic-cm

And Weight of box= $3699\times 15=55485g=55.485kg$