a rectangular box of dimensions 24cm by 36cm by 48cm was fully packed with wooden cubes of the same size. at least how many cubes were there?

24

Step-by-step explanation:

Find the GCF of 24, 36 and 48.

Prime factorization of:

24: 2*2*2*3

36: 2*2*3*3

48: 2*2*2*2*3

All numbers have at least two 2s and one 3.

2*2*3=12

The cubes must have been 12x12x12 largest size.

(24*36*48) : (12*12*12)

= (41472) : (1728) = 24

At 12x12x12, 24 cubes would be packed.

There must be at least 24 cubes.