Question

the internal dimensions of a box are 1.2m,80cm and 50cm.how many cubes each of edge 7 cm 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

internal volume of box is 120 x 80 x 50 cms = 480000 cc

volume of each cube is 7x7x7 cms = 343 cc

now divide 480000 by 343 you get 1399.416

now we know that we can fit 1399 whole cubes which occupies a volume of 1399 x 343 = 479857 cc

empty volume is 480000 - 479857 = 143 cc

so the answer is, we can fit 1399 cubes and the empty space is 143 cc