To find out how many 1 cm cubes are needed to construct a cube that measures 3 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 = side length 3
For our cube with a side length of 3 cm, we can substitute in the values:
Volume = 3 cm 3 = 3 x 3 x 3 = 27 cm 3
Now, we know that each 1 cm cube has a volume of:
Volume of 1 cm cube = 1 cm 3
To find out how many 1 cm cubes fit into the larger cube, we divide the volume of the larger cube by the volume of one smaller cube:
Number of 1 cm cubes = Volume of larger cube / Volume of 1 cm cube
Number of 1 cm cubes = 27 cm 3 / 1 cm 3 = 27
So, it would take a total of 27 one-centimeter cubes to construct a cube that is 3 cm on each edge.