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

It's given in the question,

We have to find the number of smaller cubes that can be fitted in the larger cube.

Volume of cube is given by the formula,

              Volume = (side)³

Volume of the larger cube =

                                             = units³

Volume of the smaller cube =

                                               = units³

Let the number of smaller cube that can be fitted in the larger cube =

Volume of cubes = units³

 If space inside the larger cube will be occupied by 'n' smaller cubes,

          volume of smaller cubes = Volume of a larger cube

           Therefore, smaller cubes can be fitted in the larger cube.

Learn more,

link

27

Step-by-step explanation:

The volume of a cube is V = s³.

The volume of the larger cube is (3x⁶)³ = 27x¹⁸.

The volume of the smaller cube is (x⁶)³ = x¹⁸.

So the larger cube is 27 times larger than the smaller cube.

step-by-step explanation:

answer is 144

step-by-step explanation: