Aptitude - Volume and Surface Area - Discussion

Area of remaining box = Area of original box - Area of the 4 squares.
Area of remaining box = (48 * 36) - 4 (8 * 8) = 1728 - 256 = 1472.
But area in the solution is l * b = 32 * 20 = 640.

What is the difference? Please explain me.

Area of rectangle= (48 * 36) = 1728.
Area of 4 square's = 4 (8 * 8) = 256.

Remaining area = 1728 - 256= 1472.

Now if we want to directly calculate the area of remaining rectangle, we have to remember that after removing 4 squares from the corner we are left with the shape to whom we can divide into 3 rectangles. 1st the middle portion which has length 32 and breath 36. 2nd has length 8 and breath 20 and 3rd same as 2nd. And now calculate the area for each rectangle you get area = 1472.

There is a gap between walls then the box is not actually a box it is only like four sheets has been kept normally on a big rectangular ground. And someone is saying it as a box.

How can it possible?

For a box, all of the sides is properly connected.

So I think the answer is wrong.

The side of the sheet is 32 * 48.

And when we remove 4 squares of side 8 from each corner then the dimension of remaining sheet is (36 - 16) * (48 - 16).
= 20 * 32.

Now when we think to make the wall using square on keeping it's four sides then I think it doesn't make a box because the lower sheet has dimension 32 * 20 but wall has dimension 8*8 then it doesn't properly join the four side.

If we do like this then it has to keep in the dimension of 8 * 8 of the lower sheet also and in that condition, the dimension of the box will be 8 * 8 * 8.

And some part of the lower sheet can not part of the box.

I am sorry for my previous comment.

The answer is correct.
32 * 20 * 8 is the right answer.

I understand the question correctly and now I am 100% sure the question and answer is correct.

Why can't we find the remaining area and multiply it by the height?

Please, someone give answer for Divya's question. Because I too have same doubt.

Here we cut in corners four sides but not in the whole side. So that why we subtract (8+8) from original breadth and length.

Please tell me how 8 came?

If we have 36 Meter scale and if we deduct 8 Meter from left and 8 meter from right we get 22 Meter.