Question

Mark packed 1-inch cubes into a box with a volume of 96 cubic inches. How many layers of 1-inch cubes would it take to fill the box?

Answer 1

4 approx.

Explanation:

The number of layers of 1-inch cubes that Mark packed is determined by assuming that the larger box is also a cube.

let the N be the number of layers of 1-inch cubes that would it take to fill the box.

Since the larger box is also a cube

Therefore, 96 = N^3

N = (96)^(1/3)

N = 4√6

Therefore, there would be 4 layers of the 1-inch cube and some extra incomplete layer