Question

How many cubes with the side length of 1/2 unit do you need to form a three unit cube

Answer 1

216

Explanation:

Volume of the smaller cube:

(½)³ = ⅛

Volume of the larger cube:

3³ = 27

No. of smaller cubes required:

27 ÷ ⅛

27 × 8

216

Answer 2

216 cubes.

Explanation:

The easiest way to take on this problem is to divide the side of the bigger cube by the smaller one.

`3 / (1)/(2) = 3 * 2 = 6`

Then, as in with volume, we cube this value to find the number of cubes necessary to fill such a space.

`{6}^(3) = 216`