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Mathematics 13 Online
OpenStudy (misssmartiez):

Part II,

OpenStudy (misssmartiez):

OpenStudy (misssmartiez):

@welshfella @FibonacciChick666

OpenStudy (welshfella):

ffffffor this you want the area of the top + area of the sides for each pan

OpenStudy (welshfella):

in the case of the rectangular dish its the area of the top + 2*area of small sides + 2* area of large sides

OpenStudy (welshfella):

for the round cake its the area of the top (pi r^2) + area of round side ( pi * diameter* depth)

OpenStudy (welshfella):

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OpenStudy (misssmartiez):

ok

OpenStudy (welshfella):

for the rectangle pan SA = 9*6 + 2*9*2+ 2*6*2 Do you follow that?

OpenStudy (misssmartiez):

so, 54+ 36+24 = 114?

OpenStudy (misssmartiez):

(for the rectangular pan)

OpenStudy (misssmartiez):

I think I need help on the SA of the cylinder pan, @welshfella . can you clarify that and done?

OpenStudy (mathmale):

@MissSmartiez : Please share, all in one place, what you've done so far. What is the radius of the circular pan? What is the area of the dircular pan? What is the depth of that pan? What ist he volume of that pan? What is the bottom area of the 6 by 9 rectangular pan? What is the depth of this pan? What is the volume of this pan? Completing this will help you and the rest of us know where to focus.

OpenStudy (misssmartiez):

We know where to focus, we did part 1 together, the people I've contact know.

OpenStudy (mathmale):

Are you going to frost the sides of your cake(s), or only the top(s)?

OpenStudy (misssmartiez):

I think the pans.

OpenStudy (fibonaccichick666):

So for your mind's eye to think of what we do and why for surface area. Imagine you were making a paper friendship bracelet in kindergarten.

OpenStudy (fibonaccichick666):

You started out with a long skinny rectangle and taped it to form a bracelet. That is the same idea here with the cylinder

OpenStudy (mathmale):

"I think the pans." But I thought we were to frost the cake(s). Are we going to frost only the tops of the cakes, or the tops and sides?

OpenStudy (misssmartiez):

oh, well, yes I guess I imagine?

OpenStudy (fibonaccichick666):

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OpenStudy (welshfella):

tops and sides are to be frosted

OpenStudy (fibonaccichick666):

It says in the question. So anyways, we need to figure out the height of our rectangle. Any ideas?

OpenStudy (mathmale):

OK. Let's follow welshfella's suggestion and frost everything but the bottoms of the cakes. What is the area of the rectangular cake's top? of its two longer sides? of its two ends?

OpenStudy (misssmartiez):

We found the rectangle, I need the cylinder, hold on, groceries, but yeah,

OpenStudy (fibonaccichick666):

Ah, so I mean the rectangle formed by cutting the cylinder. For instance if you were to cut the top and bottom off of a can of coke, you would have a cylinder yea? Now make a straight cut through the cylinder from bottom to top. You could lay that out flat and you'd have a rectangle

OpenStudy (fibonaccichick666):

That rectangle would have a length that is the same as the circumference of the circle that forms the lid right?

OpenStudy (misssmartiez):

yes, back @FibonacciChick666

OpenStudy (fibonaccichick666):

ok, so to find the SA of the cylinder, you need to add the area of the top, the area of the rectangle that makes up the rounded part, and (though not in this case) the area of the bottom. So since we are not frosting the bottom, we can skip that part

OpenStudy (fibonaccichick666):

so what's the area of the top of the cylinder?

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