Question

A cube has been cut into cuboids of size $2\times 3\times 4.$ What is least possible integer length of the edge of cube and how many such cuboids are obtained from this cube?

• A. 96
• B. 72
• C. 60
• D. 84

Answer 1

The correct option is B 72

The least possible dimension of cube LCM of 2, 3, 4 = 12

No. of cuboids that can be obtained

$=\frac{12\times 12\times 12}{2\times 3\times 4}=72$