Question

Hamad made a cuboid of size 2cm X 3cm X 4cm. How many such cuboids will be required to make a cube?

Answer 1

576 Cuboids

Explanation:

Answer 2

576 cuboids

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

`V=(2)(3)(4)=24\ cm^(3)`

The volume of the cube is equal to

`V=x^(3)`

Find the number of cuboids that are needed

`(n)24=x^(3)}`

n*24 must be a perfect cube

so

The minimum value that satisfied n to make n*24 a perfect cube is n=576

`576*24=13,824=24^(3)`