Question

If we get maximum possible number of Z" cubes, then how many $\frac{1}{2}$" cubes will be obtained (along with the maximum number of Z" cubes) ?

• A. 0
• B. 2
• C. 4
• D. 8
• E. 6

Answer 1

The correct option is A 0

The whole 4" cube can be exactly cut into smaller cubes of 2" dimension. Let there be $x$ small cubes of 2" dimensions, then by equating the volumes:
$4\times 4\times 4=x\times 2\times 2\times 2$
$x=8$
Thus, there are maximum of 8 cubes of dimension 2" cut from a cube of dimension 8". hence, the $\frac{1}{2}$" cubes will 0.