Can you find out the smallest number that can be conveyed as the sum of three squares in three unique ways?

What does the below image rebus riddle means ?

You are given a cube that is made with the help of 10x10x10 smaller cubes summing up to a total of 1000 smaller cubes. You are asked to take off one layer of the cubes.
How many remain now?

Look at this sequence from top to bottom. What is the next number in the sequence?
1
11
21
1211
111221
312211

There are three boxes. One is labeled "APPLES" another is labeled "ORANGES". The last one is labeled "APPLES AND ORANGES". You know that each is labeled incorrectly. You may ask me to pick one fruit from one box which you choose.

How can you label the boxes correctly?

If you remove one from eleven, it becomes ten. If you remove one from nine, it becomes ten.

How is this possible?

A man says, "Brothers and sisters, have I none, but that man's father is my father's son." Who is that man?

I’m tall when I’m young, and I’m short when I’m old. What am I?

Find a 9-digit number, which you will gradually round off starting with units, then tenth, hundred etc., until you get to the last numeral, which you do not round off. The rounding alternates (up, down, up ...). After rounding off 8 times, the final number is 500000000. The original number is commensurable by 6 and 7, all the numbers from 1 to 9 are used, and after rounding four times the sum of the not rounded numerals equals 24.

Count the number of lines in the image below ?