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Mathematics 8 Online
OpenStudy (anonymous):

The length, width, and height of a right rectangular prism are doubled. What will be the effect on the volume of the prism?

OpenStudy (anonymous):

OpenStudy (anonymous):

For my answer I got 264pi m^2

OpenStudy (anonymous):

I feel I'm off by 100.

OpenStudy (anonymous):

if you have a 1 by 1 by 1 square, the volume is 1 if you have a 2 by 2 by 2 square, the volume is 8

OpenStudy (anonymous):

What about with that odd figure that I'm given in the question?

OpenStudy (anonymous):

i am confused, because you question in the box is a general one, and your picture is a specific one are you supposed to find the area of that shape?

OpenStudy (anonymous):

Yeah. The surface area of the composite figure.

OpenStudy (anonymous):

ok now i am doubly confused are you looking for a volume, or a surface area?

OpenStudy (anonymous):

Surface.

OpenStudy (anonymous):

Mind if I paste the answer choices?

OpenStudy (anonymous):

Would that help out? Or?

OpenStudy (anonymous):

no that would just confuse me

OpenStudy (anonymous):

Yeah... It's difficult on me with my seizure disorder.

OpenStudy (anonymous):

I try to do my best in all subjects, and I normally do good, but I must say... math isn't my subject.

OpenStudy (anonymous):

i don't know any geometry, but a quick google search tells me the surface area of a cone is \[\pi r(r+l)\]

OpenStudy (anonymous):

in your case \(r=6,l=8\) and you have two of them, so one part will be \[12\pi(6+8)\]

OpenStudy (anonymous):

or even better \[368\pi\] if you need a decimal, use a calculator then find the surface area of the cylinder

OpenStudy (anonymous):

ok typo there, \[12\times 14=168\] so \[168\pi\] for the two cones

OpenStudy (anonymous):

how we doing so far?

OpenStudy (anonymous):

168 each or just one is 168?

OpenStudy (anonymous):

together

OpenStudy (anonymous):

and not \(168\) but \(168\pi\)

OpenStudy (anonymous):

Alright. yes, I'm with you.

OpenStudy (anonymous):

yeah i know.. i just dont have the pi symbol on my keyboard, but i wrote it down

OpenStudy (anonymous):

we can back up if you like

OpenStudy (anonymous):

ok now we need the surface area of the cylinder right?

OpenStudy (anonymous):

nope, we're doing good so far.

OpenStudy (anonymous):

and yes.

OpenStudy (anonymous):

that is easier, it is just \(2\pi rh\) we don't need the sides

OpenStudy (anonymous):

|dw:1457668337857:dw|

OpenStudy (anonymous):

here \(r=6,h=14\) so \[2\times 6\times 14\times \pi\]

OpenStudy (anonymous):

multiply that out, add it to the previous answer

OpenStudy (anonymous):

527.78

OpenStudy (anonymous):

yes, but some odd coincidence ii is the same as the area of the two cones

OpenStudy (anonymous):

*by

OpenStudy (anonymous):

695

OpenStudy (anonymous):

i liked your first answer better

OpenStudy (anonymous):

527 when added, yea

OpenStudy (anonymous):

are your answer choices decimals, or do they use \(\pi\)?

OpenStudy (anonymous):

S = 168π m2 S = 48π m2 S = 96π m2 S = 264π m2

OpenStudy (anonymous):

hold the phone the two cones together are \(168\pi\) and the cylinder is also \(168\pi\) add them up

OpenStudy (anonymous):

I had chosen 264 at first, afterwards I chose 168 and just got myself confused earlier.

OpenStudy (anonymous):

that'd be 1,000 something

OpenStudy (anonymous):

hmm i don't like any of those, maybe we made a mistake the cylinder by itself is \(2\times 6\times 14\times\pi=168\pi\)

OpenStudy (anonymous):

Yeah, that's why I'd been confused for awhile. The curriculum always lists trick answers. Hard to know which one is right a lot of the times.

OpenStudy (anonymous):

oooh!!!

OpenStudy (anonymous):

i see the mistake !!

OpenStudy (anonymous):

the cylinder part is right, but stupidly i included the base of the cone, which is not part of it

OpenStudy (anonymous):

Ah, so 168 by itself?

OpenStudy (anonymous):

no we still need the cone part

OpenStudy (anonymous):

I had that without the cylinder included into it.

OpenStudy (anonymous):

that is \[\pi rl=8\times 6\times pi\] and there are two of them

OpenStudy (anonymous):

for a grand total of \[96\pi\] for those parts

OpenStudy (anonymous):

now add \[168\pi + 96\pi\]

OpenStudy (anonymous):

264.

OpenStudy (anonymous):

is one choice \(264\pi\)?

OpenStudy (anonymous):

Yep. I thought that at first! So thanks for verifying.

OpenStudy (anonymous):

whew yw now i have a question: what kind of pie do you like?

OpenStudy (anonymous):

I have about 4 other questions on this thing, but yea.. and oh

OpenStudy (anonymous):

Apple or Pumpkin c:

OpenStudy (anonymous):

me too

OpenStudy (anonymous):

Yeah. I don't really prefer whipped cream though.

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