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Mathematics 20 Online
OpenStudy (anonymous):

the bread loaf pan shown is filled to a height of 2 inches with banana bread batter. how much more batter could the pan hold before it overflowed? height: 3 in. length: 9 in. width: 5 in.

OpenStudy (anonymous):

@mathmale @pooja195 @TheSmartOne @DanJS

OpenStudy (anonymous):

help please

OpenStudy (anonymous):

someone please help

OpenStudy (sagewilson):

is there an image of the pan?

OpenStudy (anonymous):

no but the height is 3 in., length is 9 in and width is 5 in

OpenStudy (mathmale):

I'd suggest you calculate the volume of the banana bread batter using a depth of 2" and then re-calculate the volume using the full 3" depth of the pan. Use the dimensions given for the pan to do this.

OpenStudy (anonymous):

so it is 90 in?

OpenStudy (mathmale):

Please show your work. Otherwise I have to do the problem myself.

OpenStudy (anonymous):

9*5*2 = 90

OpenStudy (mathmale):

Yes, (9")(2")*(5") = 90 ... what? (units of measurement ... which?) ?

OpenStudy (anonymous):

90 in.3

OpenStudy (mathmale):

yes, \[90 inches^3\]

OpenStudy (mathmale):

Now do the same volume calculation using the full, 3", depth of the pan.

OpenStudy (anonymous):

135

OpenStudy (mathmale):

The volume of the full bread pan is .... 135 ... what?

OpenStudy (anonymous):

135 in 3

OpenStudy (mathmale):

Yes, and the difference between 135 cu. in. and 90 cu. in is .... ???

OpenStudy (anonymous):

45 in3

OpenStudy (mathmale):

yes, and the increase in volume of the cake due to the additional 1 inch of batter is ... ???

OpenStudy (anonymous):

46 in3

OpenStudy (mathmale):

right. end of problem. You OK with this?

OpenStudy (anonymous):

so the answer is 46 in3

OpenStudy (mathmale):

What do you think? Always a good idea to go back to the original problem statement and see whether your response makes sense as an answer.

OpenStudy (anonymous):

yes

OpenStudy (mathmale):

Great. Hope to work with you again later on.

OpenStudy (anonymous):

thank you

OpenStudy (mathmale):

You're welcome!!

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