Question

A 5cm cube is cut into 1cm cubes. Find the percentage increase in surface area after such cutting ? ​

Answer 1

Answer:

Given, a cube of side 5 cm is cut into 1 cm cubes.

The volume of big cube= 5×5×5 = 125cm

3

Now, the big cube is cut into 1 cm cubes

Therefore, the no. of small cubes =

Vol.of1smallcube

125

=

1

125

Thus, the vol. of big cube = the volume of 125 cubes having an edge 1 cm. Thus, there is no change in the volume.

Answer 2

Step-by-step explanation:

5 cubes surface area =6*a^2=6*25=150 cmsq

volume of cube=5*5*5=125cm^3

cut into 1 cm cube 125/1=125

surface area of 125 cubes of 1 cm

=125*(6a^2)

=125*(6*1*1)=150

so area is not increasing