Question

The internal dimensions of box are 1.2m ,80cm and 50 centimetre.how many cubes each of edge 7cm can be packed in the box with faces parallel to the sides
of the box. Also,find the space left empty in the box

Answer 1

The total number of cubes that can be packed in the box will be the quotient of volume of box divided by volume of cube
= 120×80×50/7×7×7
= 480000/343
= 1399.41
quotient = 1399

space left empty in the box
= volume of box-volume is 1399 cubes
= 480000-(1399×343)
= 480000-479857
= 143

Hence 1399 cubes can be packed in the box and the empty space left will be 143 cm. cube