Question

A closed wooden chest is 48 cm long, 36 cm wide, and 30 cm high. How many cubical boxes of side 3 cm can be placed in it?​

Answer 1

Answer:

The number of boxes that can be fit in chest = 1920

Step-by-step explanation:

Given dimensions of wooden chest are

                           length  l = 48 cm

          wide or breadth  b = 36 cm

                          height h = 30 cm

      total volume = 48 × 36× 30 =51840 $cm^{3}$

  the side of cubical box which is need to be fit in chest  'a' = 3 cm

                 volume of the cubical box = $a^{3}$ = $3^{3}$ = 3× 3× 3 = 27$cm^{3}$

 number of boxes that can fit in chest=chest volume÷volume of cubical box

                                             = $\frac{51840}{27}$ = 1920