Find the height of a rectangular prism if the surface area is 458.17 in2, the width is 6.2 in and the length is 8.3 in.

Question

sissyedgar · Answer

Sorry, I read it incorrectly. I'm not sure.

3mar · Answer

Ready to proceed?

nvidiaintely · Answer

Yes.

3mar · Answer

Ok

study.geek.123 · Answer

ok

study.geek.123 · Answer

volume is length times height times width

nvidiaintely · Answer

Okay.

study.geek.123 · Answer

wait no
this is surface area
srry

nvidiaintely · Answer

Yeah just noticed :P

3mar · Answer

Sorry
The internet interrupted

nvidiaintely · Answer

fine fine :)

3mar · Answer

|dw:1475026529839:dw|
I think this is what you have described.

nvidiaintely · Answer

But then where is the height supposed to be?

3mar · Answer

If we let the length to be x, then we have 
8.3, 6.2, x  the three dimensions of the prism

nvidiaintely · Answer

Okay :)

3mar · Answer

And you know the surface area is equal to the total areas of the six faces of the prizm.
Good?

nvidiaintely · Answer

Yes!

3mar · Answer

Whichever you choose the length, the remaining dimension is the required one.
ok?

3mar · Answer

We have three pairs of faces: can you state their areas?

nvidiaintely · Answer

Yep.

nvidiaintely · Answer

Surface area is 458.17 in2, the width is 6.2 in and the length is 8.3 in.

machilathrom · Answer

ok

3mar · Answer

I mean you list them as dimension;
(....*....) and (....*......) and (.....*...)
Please

nvidiaintely · Answer

Okay, give me a sec.

nvidiaintely · Answer

(Surface area : 458.17 in2) and (width : 6.2) and (length : 8.3)

3mar · Answer

Did not get it!

nvidiaintely · Answer

Not really, please give e.g.'s.

3mar · Answer

This is what I mean and what I want:
one face area = length*height
other face area =length*width
last face area =height*width

nvidiaintely · Answer

Oh...

nvidiaintely · Answer

Where and how did you get that?

3mar · Answer

Let me show you......

3mar · Answer

Please look at this pic
and Sorry for late!

3mar · Answer

This is what I have meant

nvidiaintely · Answer

oh, okay, thanks!

3mar · Answer

So do we have three pairs of faces?

nvidiaintely · Answer

yes.

3mar · Answer

rectangular prism has six faces, twelve sides, and eight corners.

3mar · Answer

I will list them this time:
(6.2*x), (8.3*x), (6.2*8.3)
Am I right?

nvidiaintely · Answer

oh, oops!
I read your comment wrong, sorry.
I meant 6 faces.

nvidiaintely · Answer

brb

machilathrom · Answer

night peeps

3mar · Answer

"night peeps"??

3mar · Answer

AS we can sum area of all faces, and equate them to the given value of surface area, so we can get the only variable (x) in that equation.
Please show me your works and the equation of the surface area.

nvidiaintely · Answer

back!