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Mathematics 7 Online
OpenStudy (anonymous):

Carla has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 10 inches long, and 7 cm deep. (1 gallon = 231 in3, 1 inch = 2.54 cm) Which of the following scenarios will happen? The paint will not fill the tray by 44.59 in3. The paint will not fill the tray by 469 cm3. The paint will fill the tray exactly. The paint will overfill the tray by 44.59 in3. @brookew41

OpenStudy (anonymous):

Okay so first we need to find the volume of the tray in terms of cubic inches which they refer to as in^3. Volume is the length multiplied by the width multiplied by the height. So we need to convert the height (7cm deep) into inches first.

OpenStudy (anonymous):

won't it over flow

OpenStudy (anonymous):

so 7x3

OpenStudy (anonymous):

No, theres 1 inch in ever 2.54 cm... So 7 divided by 2.54?

OpenStudy (anonymous):

2.7755905512

OpenStudy (anonymous):

3

OpenStudy (anonymous):

2.75*

OpenStudy (anonymous):

Close... I'm getting 2.75590. We can't round yet though. Multiply 2.75590 by the length and width which are both ten... what do you have now?

OpenStudy (anonymous):

27.559

OpenStudy (anonymous):

thats times length, now you have to multiply by the width which is 10 again

OpenStudy (anonymous):

275.59

OpenStudy (anonymous):

Good so we have the volume of the tray. now If there is 275.59 inches cubed in the tray The one gallon paint uses 231 inches cubed What is the end result?

OpenStudy (anonymous):

it will fill exact

OpenStudy (anonymous):

How do you figure? 275.59 is bigger than the 231 cubic inches that the paint will fill. Only 231/275.59 will be used... So it won't be filled. All you have to do is subtract 231 from 275.59

OpenStudy (anonymous):

did i get it wrong :(

OpenStudy (anonymous):

-44.59

OpenStudy (anonymous):

275.59-231

OpenStudy (anonymous):

so its positive 44.59

OpenStudy (anonymous):

will it fill or over fill @brookew41

OpenStudy (anonymous):

If there is 44.59 cubic inches left in the tray, then it is not filled right?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

So what answer is it? A or D? read carefully.

OpenStudy (anonymous):

its A

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