Question

A 6cm side cube is divided into 64 small cubes.what is the length of the side of small cube?

Answer 1

According to the three dimensional geometry.

If we divide a cube which has a side length of "a",into "n" number of smaller cubes.

The side length of the smaller cubes will be;

a÷n/2

=6÷64/2 [according to the data mentioned in the question]

=6÷32

=0.1835

The side length of the smaller cubes will be 0.1835 cm (approximately)

Answer 2

Answer:

Side of the big cube given is 6 cm.

Step-by-step explanation:

It's area = 6 X 6 = 36 sq. cm.

Now this has to be divided into 64 smaller cubes.

36 sq. cm area / 64 = 0.5625 sq. cm.

So, it is obvious that each of the smaller cube will have an area of 0.5625 sq. cm.

Now ratio of area to side in cube is easy to calculate.

We have side of a cube = Sq. Rt. Of area = Sq. Rt (0.5625 sq cm ) = 0.75 cm.

So the length of each side in smaller cube should bed 0.75 cm.