Question

Find the minimum number of cubes with which one can construct a cube of dimension 25m x 20m x 15m.

Answer 1

I think the question should be, "Find the minimum number of cuboids with which one can construct a cuboid of dimension 25m x 20m x 15m."

Because a cube has all sides equal in magnitude.

cuboid=25*20*15 [i.e l*b*h]

LCM = 300

i.e 300m is the dimension of the final cube.

therefore cuboid required across length=300/25=12

similarly, across breadth=300/20=15

similarly, across height=300/15=20

Therefore total no of cuboid=12*15*20= 3600.