please help me. ill give brainliest

You are baking a cake. The recipe calls for a cake pan that is 9 inches by 11 inches by 2 inches.
You have a cake pan that is 10 inches by 10 inches by 2 inches.



What is the surfacearea of the recipe’s cakepan? (The top of the cake pan is open.)

What is the surface area of your cake pan? (The top of the cake pan is open.)

Based upon your answers above, is it okay to use your cake pan for this recipe? Explain.

Respuesta :

So first you need to find the surface area of the cake pan in the recipe:

9 times 11 + (9 times 2)2 + (2 times 11)2=99+36+44 which you can figure out yourself. 

The second one is:
 
10 times 10+(10 times 10)2+(10 times 2)2= 100+200+40 which you can also figure out yourself. 

I am guessing you cannot use the pan you have for your recipe. 

 
The surface area of the recipe pan is...
base (9x11) + 2 sides 2(9x2) + 2 more sides 2(11x2) which equals 179in²

the surface area of your pan is...
base (10x10) + 2 sides 2(10x2) + 2 more sides 2(10x2) which equals 140in²

HOWEVER the answers above don't answer the question whether or not its ok to use your pan. You need to calculate volume:

Recipe pan:
9x11x2= 198in³

Your pan:
10x10x2= 200in³

In reality this would probably be fine, but for the sake of the math problem I would say no you can't use it because they aren't equal. However you know your teacher better than I do so thats up to you. Hope this helps :)