Question

If the length of each side of a cube is halved, is the surface area halved? Use an example to support your answer.

Answer 1

surface area of cube is x^2 * 6

Answer 2

Now, lets say that the side is 4.
The surface area would be 4^2*6, which is 96

Answer 3

Now, lets cut 4 in half, to see if the surface are is cut in half as well.

Answer 4

2^2*6=24

Answer 5

One cube has a side of, for example 18cm. Its surface area will be \[18^{3}\] =5832

so the other will have side of 9cm, with surface area of \[9^{3}\] 729

you can see that the surface area is not half the original

Answer 6

It isn't cut in half, but it is cut into 1/4ths. So no, it is not cut in half.