Question

A cube has a side length of 3x^6 units. A smaller cube has a side length ofx^2 units. How many smaller cubes will fit in the larger cube?

Answer 1

The number of smaller cube that will fit in the larger cube is:

`3x^4`

Step-by-step explanation:

Given that the length of the larger cube is:

`3x^6\text{ Units}`

and that of the smaller cube is:

`x^2`

To know the number of the smaller cube that will fit into the larger cube, we need to divide the length of the larger cube by the smaller cube.

Doing this, we have:

`(3x^6)/(x^2)=3x^(6-2)=3x^4`