Answer:
Total of 64 cubes are needed.
Step-by-step explanation:
The dimensions of smaller cube are edge length of 1 inch.
The dimensions of the formed larger cube is edge length of 4 inches.
The volume of cube is found by,
[tex]V = (s)^{3}[/tex], where s is the edge length of cube.
The volume of small cubes is,
v1 = [tex]1^{3} = 1 inch^{3}[/tex]
The volume of bigger cube is,
v2 = [tex]4^{3} = 64 inch^{3}[/tex]
Let the number of cubes needed be "n".
The total volume formed is equal to n times volume of individual cube.
[tex]64 = (n)(1)[/tex]
Thus, n = 64.
