To find out how many 1 cm cubes are needed to construct a cube that measures 4 cm on each edge, we first need to calculate the volume of the larger cube.
The volume of a cube is given by the formula: Volume = side³.
In this case, the side length of the larger cube is 4 cm. So, we calculate:
Volume = 4 cm × 4 cm × 4 cm = 64 cm³
Now, since each 1 cm cube also has a volume of 1 cm³ (since 1 cm × 1 cm × 1 cm = 1 cm³), we can determine how many 1 cm cubes fit into the 64 cm³ volume of the larger cube.
To find the required number of 1 cm cubes, we simply divide the volume of the larger cube by the volume of one small cube:
Number of 1 cm cubes = 64 cm³ ÷ 1 cm³ = 64
Therefore, it would take 64 one-centimeter cubes to construct a larger cube that is 4 cm on each edge.