Aptitude - Volume and Surface Area - Discussion

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

Please tell me how 8 came?

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.

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.

The squares are not used for making that box, the remaining part of the sheet is used for the box.

This sheet has been cut only for making the open box.

If you take base of dimension 32 * 20 then the remaining extra part of the sheet which is also the remaining connected part can be folded to make the open box.

So, now the height of the box is 8 so volume is 32 * 20 * 8.

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.

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.

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.