A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least… · ABC26GN4748
Subject: General Aptitude · Chapter: Volume and Surface Area
A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes.
Answer
No answer key was printed for this question.
Explanation
Volume of the block = (6 × 12 × 15) cm3 = 1080 cm3. Side of the largest cube = H.C.F. of 6 cm, 12 cm, 15 cm = 3 cm. Volume of this cube = (3 × 3 × 3) cm3 = 27 cm3. 1080 Number of cubes = = 40. 27
Explanation as extracted from the printed page; notation may be imperfect.