A CUBE HAVING T.S .A IS 216sqcm.reshaped and melted in small cubes of 2cm each.how many cubes can be formed?

108

Clearly the large cube is 6x6x6.

So, how many 2x2x2 cubes is that?

To find out how many cubes can be formed from a given cube, we need to determine the volume of the original cube and the volume of each small cube.

1. Start by calculating the side length of the original cube. Since the total surface area (TSA) is given as 216 sq. cm, we can use the formula for the TSA of a cube: TSA = 6 * side^2.
216 = 6 * side^2
side^2 = 36
side = √36
side = 6 cm

2. Now that we know the side length of the original cube is 6 cm, we can find its volume using the formula V = side^3.
V = 6^3
V = 216 cm^3

3. Next, calculate the volume of each small cube. Since each small cube has sides of 2 cm, the volume can be calculated as V = side^3.
V = 2^3
V = 8 cm^3

4. Finally, we can determine the number of small cubes that can be formed from the original cube by dividing the volume of the original cube by the volume of each small cube:
Number of small cubes = Volume of original cube / Volume of each small cube
Number of small cubes = 216 cm^3 / 8 cm^3
Number of small cubes = 27

Therefore, 27 small cubes of 2 cm can be formed from the original cube.