Question

A cuboidal block of 6 cm × 9 cm × 12 cm is cut up into an exact number of equal cubes. The least possible number of cubes will be: 

(a) 6 (b) 9 (c) 24 (d) 30 (e) None of these

Answer 1

(c) Volume of block = (6 × 9 × 12) cm³ = 648 cm³.
Side of largest cube
= H.C.F. of 6 cm, 9 cm, 12 cm = 3 cm.
Volume of the cube = (3 × 3 × 3) = 27 cm³.