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

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

$V=(2)(3)(4)=24\ cm^{3}$

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

$576*24=13,824=24^{3}$