Question

Mark packed 1 inch cubes into a box with a volume of 120 cubic inches. How many layers of 1-inch cubes did mark pack?

Answer 1

The number of layers of 1-inch cubes that Mark packed is determined by assuming that the larger box is also a cube. 
                         120 = e³
The value of e from the equation is approximately 5. Thus, there are approximately 5 layers of 1-inch cubes. 

Answer 2

Answer:

5 layers of smaller cube approximately.  

Step-by-step explanation:

We are given the following data in the question:

Volume of the bigger box = 120 cubic inches.

Side of smaller cube = 1 inch

Volume of smaller cube = $side\times side\times side$  = $1\times 1\times 1$ = 1 cubic inches.

Number of smaller cubes that can be fit into bigger box = $\frac{120}{1}$ = 120

If we assume that the bigger box is also a cube, then we can calculate the side of the bigger box

$120 = side\times side\times side$

$Side = \sqrt[3] {120}$ = 4.932

Thus, the side of the bigger box is approximately equal to 5 inch.

Thus, approximately Mark can pack the smaller cubes into the bigger box by stacking 5 layers of smaller cubes. Now, each layer of smaller cubes contain approximately 25 cubes.