Question

In how many ways can you keep a cube of dimensions 2*2*2 into a large container of dimenions 4*4*4

Answer 1

2*2*2*2*2*2=4*4*4is answer

Answer 2

Answer:

The cube can be arranged in 8 ways

Solution:

The dimension of the cube given is $2 \times 2 \times 2$

The volume of this small cube is $2^{3}=8$

Now the dimension of the large container is $4 \times 4 \times 4$

The volume of this large container is $4^{3}=64$

$\text {number of ways in which the cube can be arranged inside the container }=\frac{\text {volume of the container}}{\text {volume of the cube}}$

So we can keep the small cube in the large container in $\frac{64}{8}=8$ ways