side length of big one = 32/4 = 8
volume = 8*8*8
little cube volume = 2*2*2
ratio = 4*4*4= 16*4 = 64
volume = 8*8*8
little cube volume = 2*2*2
ratio = 4*4*4= 16*4 = 64
First, let's calculate the length of the larger cube's side. We know that the base of the larger cube has a perimeter of 32 inches, which means the sum of all its sides is 32 inches. Since the base of the cube is a square, each side length is equal. Thus, we divide the perimeter by 4 (as there are 4 sides in a square) to find the length of one side:
32 inches / 4 = 8 inches
Therefore, the larger cube has a side length of 8 inches.
Now, let's determine how many small cubes can fit inside the larger cube. Since each small cube has a side length of 2 inches, we need to divide the length of the larger cube's side by the length of the small cube's side:
8 inches / 2 inches = 4 small cubes
Hence, we need 4 small cubes to make a larger cube whose base has a perimeter of 32 inches.