How many small cubes that are 2cm fit exactly into the big cube that is 6cm
To determine the number of small cubes that can fit exactly into the big cube, we need to calculate the volume of both cubes.
The volume of a cube is found by multiplying the length of one side by itself twice (or cubing it).
For the small cube:
Volume of small cube = (2 cm)^3 = 2 cm × 2 cm × 2 cm = 8 cm^3
For the big cube:
Volume of big cube = (6 cm)^3 = 6 cm × 6 cm × 6 cm = 216 cm^3
To find the number of small cubes that can fit, we divide the volume of the big cube by the volume of the small cube:
Number of small cubes = Volume of big cube ÷ Volume of small cube
= 216 cm^3 ÷ 8 cm^3
= 27
Therefore, exactly 27 small cubes that are 2cm can fit into the big cube that is 6cm.