Let's do this question, a cube of side four centimeter is cut into one centimeter cubes.
What is the ratio of the surface area of the original cubes and the cubes?
All right.
Both the video, give it a try and then let's do it together.
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We are back.
I hope you have given it a try.
Now, let's start finding the surface area of the initial cube.
The site is given us four centimeter.
So we know that the surface area of a cube is six times Saïd Square.
So the surface area would be six to four square.
Right.
All right.
Now, how many one centimeter cubes can be cut out?
That would depend on the volume.
Right now.
Over here, the volume is forward into four into four.
So you will get four into four into four cubes of one centimetre cube volume.
All right.
Now, what is the surface area of one such cube?
The side is one centimetre, right?
We know the surface area is six times the square of the side.
So the surface area of one such cube would be six into one.
Right.
That's the closest centimetre square.
Now, what's the total surface area?
You just need to multiply these two together, right?
So you get the total surface area of the smaller cube is equal to or into four in the four into six.
All right.
Now we need to find the ratio of the surface area of the original cube to the race, to the surface
area.
Of all the smaller cubes, that would be six in the four square, divided by six in the four cube.
And that's equal to one by four.
And that is the answer to this question.
And that's option C over here.