100,000 KM Squared in War Thunder Trailer

[SuhnSolJashin]

http://www.youtube.com/watch?v=3LO9w4i93rE

At the 0:25 second marker in the video above is a number that really confuses me and my brother got really angry at me for not understanding it at all. I haven't been in school for probably about a year and a half now so bare with me. I'm seriously confused here.

When it says 100,000 KM Squared, it means... 100,000 KM by 100,000 KM, right? He tells me that it should be like 316 KM, but that doesn't flip the switch in my head at all.

 

[HallsofIvy]

Standard English for "100000 \(\displaystyle Km^2\)" would be "One hundred thousand square miles". "One square mile" is defined as an area one mile on a side. \(\displaystyle \sqrt{100000}= 316.22776601683793319988935444327\) approximately so a square with area 1000000 square miles would be bout 316 miles on a side.

A square 100000 miles on a side would have an area of \(\displaystyle 100000^2= 1000000000000\) square miles.

 

[lookagain]

Standard English for "100000 \(\displaystyle Km^2\)" would be "One hundred thousand square miles". \(\displaystyle \ \ \ \) <--- This should be "square kilometers."

"One square mile" is defined as an area one mile on a side. \(\displaystyle \ \ \ \ \ \)<----Yes, but the topic is sq. km. from above.

tex]\sqrt{100000}= 316.22776601683793319988935444327[/tex] approximately

so a square with area 1000000 square miles would be bout 316 miles on a side.\(\displaystyle \ \ \ \ \ \) <----You have one too many zeroes, beside the fact that you
typed "miles" instead of kilometers again."

A square 100000 miles . . . <---- kilometers here on a side would have an area of \(\displaystyle 100000^2 \ \ \ \ \)<----It should be "square kilometers" right after \(\displaystyle 100000^2.\)

\(\displaystyle = 1000000000000 \ \ \ \ \ \) <----You have two too many zeroes here.

square miles.\(\displaystyle \ \ \ \ \ \) <----Again, it should be "kilometers."

HallsofIvy, you're a long-time multiple science/math message board contributor, and maybe you got distracted.

 

[HallsofIvy]

I hang my head and go.

 

[SuhnSolJashin]

You guys are making this way too confusing.

And it's an older brother, not a younger one.

@Denis, you basically said what I said. Or at least that's how it registered in my mind.

1 inch by 1 inch, your surface area is 1 square inch.

100000KM by 100000KM, your surface area is 100000KM squared.

That's how I see it.

 

[stapel]

1 inch by 1 inch, your surface area is 1 square inch.

Yes; because 1*1 = 1.

100,000 KM by 100,000 KM, your surface area is 100,000 KM squared.

No; because 100,000*100,000 = 10,000,000,000, not 100,000.

 

[SuhnSolJashin]

Yes; because 1*1 = 1.


No; because 100,000*100,000 = 10,000,000,000, not 100,000.

I understand now, because of thinking hard before coming back here.

However, before:

The thought of 2 squared meant in my mind, 2 by 2, regardless of what was inside of the surface area, I just thought about a square's perimeter using 2, by 2.

I understand what 2 squared is, 4, but before, my mind thought of it as 2 by 2, meaning yes, a surface area of 4, but when my mind thought of it as 100,000 KM squared I thought that meant 100,000 KM by 100,000 KM.

It's more of the screwy context than my understanding of the math.

 

[JeffM]

I understand now, because of thinking hard before coming back here.

However, before:

The thought of 2 squared meant in my mind, 2 by 2, regardless of what was inside of the surface area, I just thought about a square's perimeter using 2, by 2.

I understand what 2 squared is, 4, but before, my mind thought of it as 2 by 2, meaning yes, a surface area of 4, but when my mind thought of it as 100,000 KM squared I thought that meant 100,000 KM by 100,000 KM.

It's more of the screwy context than my understanding of the math.

The nomencalture goes back AT LEAST to the ancient Greeks.

2 squared meant to them the area of a square of 2 units by 2 units. Now if you divide that up into unit squares (squares of 1 unit by ` unit), you find the 2 by 2 square is divided up into four unit squares, each of area 1 SQUARED unit so the total square is 4 squared units. The whole language of squaring and cubing numbers came out of calculating areas of squares and volumes of cubes.

 

[stapel]

For an additional source of potential confusion, note that there is also the old-time usage "square". While "100 square feet" means the same thing as "100 feet squared", the phrase "100 foot square" means "100 feet on a side", or "(100)^2 square feet". :shock: