Question

A godown is in the shape of a cuboid whose length, breadth and height are 56 m, 42 m and 10 m respectively. How many ( maximum) cuboidal boxes each measuring 2.8 m * 2.5 m * 70 CM can be stored into the godown

Answer 1

Step-by-step explanation:

volume of godown=56×42×10=2352m

volume of box=2.8×2.5×0.7=4.9m

no. of box =2352÷4.9=480

Answer 2

Maximum number of $cuboidal$  box  can be stored  $n=4800$

Step-by-step explanation:

Given,

Dimension of $godown$ are

$length=l=56m ,breadth=b =42m,height=h=10m$

Dimension of $cuboidal$ box are

$l_{1}=2.8m,b_{1}=2.5,h_{1}=70cm=.7m$

Solution,

Volume of $godown$= $V=l\times b\times h$

  $V=56\times 42\times 10$

$V=23520m^{3}$

Volume of $cuboidal box$

$V_{1}=l_{1}\times b_{1}\times h_{1}$

$=2.8\times 2.5\times .7$

$=4.9m^{3}$

Let no $cuboidal$ box in $godown$ can be stored is =n

$n\times 4.9=23520$

$n=23520/4.9$

$n=4800$

Maximum no boxes can be stored =4800