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Mathematics 15 Online
OpenStudy (anonymous):

Question in comments:P

OpenStudy (anonymous):

OpenStudy (hitaro9):

Alright. If I were to give you a side length of a cube, and to solve for the volume from there, would you be able to do that?

OpenStudy (anonymous):

uhhhhh. nope.

OpenStudy (hitaro9):

Okay that's fine

OpenStudy (hitaro9):

So, what is a cube? If I gave you a box and I told you it was a cube, what are some things you could say about it?

OpenStudy (hitaro9):

Anything at all, it doesn't even need to be relevant to the problem. What makes a cube a cube?

OpenStudy (anonymous):

The shape.

OpenStudy (hitaro9):

That's good. What about the shape?

OpenStudy (anonymous):

It has all same size sides

OpenStudy (hitaro9):

Right perfect. So, what is volume exactly?

OpenStudy (anonymous):

I dont know :(

OpenStudy (hitaro9):

Oh okay that's fine. Do you know what surface area is?

OpenStudy (hitaro9):

Or, do you know what area is in general?

OpenStudy (hitaro9):

If I told you to find the area of this square, could you do that? |dw:1444859352456:dw|

OpenStudy (anonymous):

Lw i believe

OpenStudy (anonymous):

3x3=A

OpenStudy (hitaro9):

Okay yes, that's great. Exactly right. So the area would be A. Now, if I told you that a perfect square has an area of 16, would you be able to figure out the length of the sides?

OpenStudy (anonymous):

8

OpenStudy (hitaro9):

So the square would look like this? |dw:1444859454212:dw|

OpenStudy (anonymous):

yes.

OpenStudy (hitaro9):

So if we use your length times width formula, we have 8x8 = 16?

OpenStudy (anonymous):

yes.

OpenStudy (hitaro9):

What is 2x8?

OpenStudy (anonymous):

wait. i feel stupid.

OpenStudy (hitaro9):

Its fine haha. So yeah, keep in mind that area is multiplication not addition.

OpenStudy (hitaro9):

So, starting over, if I told you the area of a square is, say, 25 Could you find the length?

OpenStudy (anonymous):

Im still rlly confused.

OpenStudy (hitaro9):

Its okay, we're starting off with something simpler. A square has area 25. You know that a square has all sides equal. Can you figure out the length?

OpenStudy (anonymous):

12.5?

OpenStudy (hitaro9):

You're dividing by two again. That didn't work when the area was 16 did it?

OpenStudy (anonymous):

Ughhhh

OpenStudy (hitaro9):

Okay so, length times width. = Area right?

OpenStudy (anonymous):

yes.

OpenStudy (hitaro9):

Because Length = width for a square, we have LxL = A LxL = 16

OpenStudy (hitaro9):

Can you think of an L that makes that true?

OpenStudy (anonymous):

No. Im terrible at math. Just forget it. Sorry to waste your time. And thanks for trying to help.

OpenStudy (hitaro9):

No no its fine. We're making progress

OpenStudy (hitaro9):

Okay. I'm going to draw a few that we already know the answer to, and we'll see if we can find a pattern

OpenStudy (anonymous):

Okay. But im never going to get this.

OpenStudy (hitaro9):

|dw:1444859941557:dw|

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