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| Math Central | Quandaries & Queries |
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Question from Jacqui, a student: How many can packages can fit? I have a freezer that is 7cf. But it contains a little tray component. The freezer measurements without the tray is(bear with me, I'm not good with LxWxD) 23 across x 16 W x 25 deep (i'm assuming depth) and the tray is 8 across x 16 w x 15 D. We are trying to see how many 9 L x 6 W x 3.5 D packages can fit in the freezer. |
Hi Jacqui,
Your freezer has two areas, the main compartment which has a volume of
23 inches
16 inches
and the shelf that has a volume of
8 inches
for a total volume of
9200 + 1920 = 11120 cu inches.
Each package has a volume of
9 inches
Thus, regardless of how you attempt to pack the packages in the freezer the largest number of packages you can fit is
11120/189 = 58.8.
Thus your result of approximately 60 is correct. You can not fit 84 packages into the freezer.
Penny
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