Question

a rectangular solid 3 inches by 4 inches by 5 inches,resting on its smallest face.draw lines on the three visible surfaces showing how can you divide the solid into cubic inch boxes.how many such boxes will fit in the solid

Answer 1

Here the rectangular solid is having dimensions of

If it is possible to divide the cuboid of cubic inch capacity into cubic boxes , then we can divide the cuboid into cubes having a volume of 1 cubic inches.   ( )

(please see the figure below to see how the cuboid can be divided)

Mathematically we can prove in the following way:

Number of boxes that can fit the rectangular solid = 60 boxes