Answer :
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.
120 = e³
The value of e from the equation is approximately 5. Thus, there are approximately 5 layers of 1-inch cubes.
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 = [tex]side\times side\times side[/tex] = [tex]1\times 1\times 1[/tex] = 1 cubic inches.
Number of smaller cubes that can be fit into bigger box = [tex]\frac{120}{1}[/tex] = 120
If we assume that the bigger box is also a cube, then we can calculate the side of the bigger box
[tex]120 = side\times side\times side [/tex]
[tex]Side = \sqrt[3] {120}[/tex] = 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.