Question

How many cuboid of dimensions $4\times 5\times 6$ are required to form a cube of least size if cuboids have to be placed adjacent, above or below each other?

• A. 1600
• B. 1800
• C. 1200
• D. None of these

Answer 1

The correct option is B 1800

Least possible dimension of cube is LCM of
$(4,5,6)=60$

The number of cuboids required.

$=\frac{60\times 60\times 60}{4\times 5\times 6}=1800$