Answer:
576 cuboids
Step-by-step explanation:
Let
x -----> the length side of the cube
n -----> number of cuboids that are needed
we know that
The volume of the cuboid is equal to
[tex]V=(2)(3)(4)=24\ cm^{3}[/tex]
The volume of the cube is equal to
[tex]V=x^{3}[/tex]
Find the number of cuboids that are needed
[tex](n)24=x^{3}}[/tex]
n*24 must be a perfect cube
so
The minimum value that satisfied n to make n*24 a perfect cube is n=576
[tex]576*24=13,824=24^{3}[/tex]
