Find the height of a rectangular prism if the surface area is 458.17in^2, the width is 6.2in and the length is 8.3in.

- briana.img

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- anonymous

Find the surface area of all the sides with a width and length first can you do that?

- anonymous

? hello?

- briana.img

@Icedragon50 trying to figure out if i can lol

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- anonymous

ok

- briana.img

@Icedragon50 just got one surface area, 8.3(6.2)=51.46

- anonymous

well heres a hint: two sides have an area of width * length

- briana.img

@Icedragon50 yeah i did that and got 51.46 lol

- anonymous

Very good!
now since theres TWO sides
so multiply by 2 to get:102.96

- anonymous

102.92 srry

- briana.img

@Icedragon50 aaah okay so what's next?

- anonymous

Ok so now we have 4 more faces.
2 of them are width*height and length*height

- anonymous

width*Height would be 6.2*h=6.2h

- anonymous

length*height would be 8.3*h=8.3h

- anonymous

now you solve for h (height) by using this equation:
102.92+6.2h+8.3h=458.17

- briana.img

@Icedragon50 h=24.5?

- anonymous

102.92+14.5h=458.17
14.5h=458.17-102.92
14.5h=355.25
h=24.5
So, height is 24.5

- anonymous

yes lol

- briana.img

@Icedragon50 that isn't any of my options :(

- anonymous

wit are your options??

- briana.img

@Icedragon50 10.25
12.25
14.25
16.25

- anonymous

:O

- anonymous

hmmm gimmee a sec

- nincompoop

do you know what surface area is?

- nincompoop

first, draw a rectangular prism and see if you can better visualize the problem

- briana.img

@nincompoop i did on my paper

- nincompoop

draw it here

- anonymous

OK THIS TOOK ME FOREVER BUT HERE IT IS

- anonymous

SA = Surface Area = 458.17 inĀ²
L = Length = 8.3 in
W = Width = 6.2 in
H = Height = What we're solving for.
The formula for the surface area of a rectangular prism is
SA = 2*(LW + LH + WH)
Substituting values:
458.17 = 2*(8.3*6.2 + 8.3H + 6.2H)
229.085 = 51.46 + 14.5H
14.5H = 229.085 - 51.46
H = 117.625/14.5
H = 12.25 inches.
That's about it! =)

- briana.img

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- anonymous

looks at meh new method and see if ya understand :P

- nincompoop

is that a rectangular prism ?

- nincompoop

that does not look like a prism to me

- imqwerty

the answer is 12.25inches

- anonymous

HEY NIN UR A HELPER NOW!! :D

- briana.img

it's a rectangular prism drawn out...

- nincompoop

no! that is not a prism

- briana.img

obviously not but it's flat out and labeled

- anonymous

:c my hard work is ignore
*clicks on another question*

- nincompoop

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- briana.img

my online course taught me to draw and label the surfaces of the figure like that

- anonymous

SA = Surface Area = 458.17 inĀ²
L = Length = 8.3 in
W = Width = 6.2 in
H = Height = What we're solving for.
The formula for the surface area of a rectangular prism is
SA = 2*(LW + LH + WH)
Substituting values:
458.17 = 2*(8.3*6.2 + 8.3H + 6.2H)
229.085 = 51.46 + 14.5H
14.5H = 229.085 - 51.46
H = 117.625/14.5
H = 12.25 inches.
Notice me senpai

- nincompoop

when asked to draw a rectangular prism, try to draw it the way it should look first
and then lay it out broken down AFTER you properly labeled them

- briana.img

well i did both on my paper but it made more sense to draw out the flat out version online instead of wasting time and drawing out both
but it's alright i get it

- nincompoop

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- briana.img

ok so what now

- nincompoop

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