Answer:
Number of cubes used = 512
Step-by-step explanation:
Here we have to find the number of small cubes used in building the larger cube. Since the larger cube is entirely filled up , we can equate the volume of larger cube and the sum of volumes of all the smaller cubes used.
Volume of a cube = [tex](side length)^{3}[/tex]
Volume of large cube = [tex]4^{3}[/tex] = 64 [tex]in^{3}[/tex]
Volume of 1 small cube = [tex](0.5)^{3}[/tex] = 0.125 [tex]in^{3}[/tex]
Number of cubes used = [tex]\frac{Volume of large cube}{Volume of small cube}[/tex]
Number of cubes used = [tex]\frac{64}{0.125}[/tex]
Number of cubes used = 512
