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Mathematics 23 Online
OpenStudy (destinyyyy):

..

OpenStudy (destinyyyy):

jimthompson5910 (jim_thompson5910):

if you were to fold up the flaps, you'd get something that looks like this |dw:1440726497313:dw|

jimthompson5910 (jim_thompson5910):

ie an open top box the sides of the bottom of the box are x units long |dw:1440726593269:dw|

jimthompson5910 (jim_thompson5910):

and the height is 3 units |dw:1440726609264:dw|

OpenStudy (destinyyyy):

Okay

jimthompson5910 (jim_thompson5910):

what would the volume expression be?

jimthompson5910 (jim_thompson5910):

hint: volume of box = length * width * height

OpenStudy (destinyyyy):

Ummmm.. 3*x*x ???

jimthompson5910 (jim_thompson5910):

which becomes 3x^2, yes

OpenStudy (destinyyyy):

Yeah

jimthompson5910 (jim_thompson5910):

the box must have a volume of 300 cubic inches. This is given in the instructions

jimthompson5910 (jim_thompson5910):

so 3x^2 = 300 which means x = ??

OpenStudy (destinyyyy):

x=10

jimthompson5910 (jim_thompson5910):

correct

OpenStudy (destinyyyy):

Okay

OpenStudy (destinyyyy):

Then I plug the 10 into the original problem right? Or no?

jimthompson5910 (jim_thompson5910):

yeah into the box since that's the answer

jimthompson5910 (jim_thompson5910):

length = width = x

OpenStudy (destinyyyy):

Okay

OpenStudy (destinyyyy):

Finally my last problem number 23...

jimthompson5910 (jim_thompson5910):

if we look head-on we see this shape |dw:1440727083780:dw|

jimthompson5910 (jim_thompson5910):

the base is 25-2x |dw:1440727110151:dw|

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