2018 · Q80
A rectangular block of length 20 cm, breadth 15 cm and height 10 cm is cut up into exact number of equal cubes. The least possible number of cubes will be
Elementary MathematicsMensuration
- A12
- B16
- C20
- D24
Explanation
The largest cube fitting exactly has side gcd(20, 15, 10) = 5 cm. The number of such cubes is (20/5) x (15/5) x (10/5) = 4 x 3 x 2 = 24. Hence option D.