briana.img
  • briana.img
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Find the surface area of all the sides with a width and length first can you do that?
anonymous
  • anonymous
? hello?
briana.img
  • briana.img
@Icedragon50 trying to figure out if i can lol

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anonymous
  • anonymous
ok
briana.img
  • briana.img
@Icedragon50 just got one surface area, 8.3(6.2)=51.46
anonymous
  • anonymous
well heres a hint: two sides have an area of width * length
briana.img
  • briana.img
@Icedragon50 yeah i did that and got 51.46 lol
anonymous
  • anonymous
Very good! now since theres TWO sides so multiply by 2 to get:102.96
anonymous
  • anonymous
102.92 srry
briana.img
  • briana.img
@Icedragon50 aaah okay so what's next?
anonymous
  • anonymous
Ok so now we have 4 more faces. 2 of them are width*height and length*height
anonymous
  • anonymous
width*Height would be 6.2*h=6.2h
anonymous
  • anonymous
length*height would be 8.3*h=8.3h
anonymous
  • anonymous
now you solve for h (height) by using this equation: 102.92+6.2h+8.3h=458.17
briana.img
  • briana.img
@Icedragon50 h=24.5?
anonymous
  • 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
  • anonymous
yes lol
briana.img
  • briana.img
@Icedragon50 that isn't any of my options :(
anonymous
  • anonymous
wit are your options??
briana.img
  • briana.img
@Icedragon50 10.25 12.25 14.25 16.25
anonymous
  • anonymous
:O
anonymous
  • anonymous
hmmm gimmee a sec
nincompoop
  • nincompoop
do you know what surface area is?
nincompoop
  • nincompoop
first, draw a rectangular prism and see if you can better visualize the problem
briana.img
  • briana.img
@nincompoop i did on my paper
nincompoop
  • nincompoop
draw it here
anonymous
  • anonymous
OK THIS TOOK ME FOREVER BUT HERE IT IS
anonymous
  • anonymous
SA = Surface Area = 458.17 in² 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
  • briana.img
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anonymous
  • anonymous
looks at meh new method and see if ya understand :P
nincompoop
  • nincompoop
is that a rectangular prism ?
nincompoop
  • nincompoop
that does not look like a prism to me
imqwerty
  • imqwerty
the answer is 12.25inches
anonymous
  • anonymous
HEY NIN UR A HELPER NOW!! :D
briana.img
  • briana.img
it's a rectangular prism drawn out...
nincompoop
  • nincompoop
no! that is not a prism
briana.img
  • briana.img
obviously not but it's flat out and labeled
anonymous
  • anonymous
:c my hard work is ignore *clicks on another question*
nincompoop
  • nincompoop
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briana.img
  • briana.img
my online course taught me to draw and label the surfaces of the figure like that
anonymous
  • anonymous
SA = Surface Area = 458.17 in² 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
  • 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
  • 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
  • nincompoop
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briana.img
  • briana.img
ok so what now
nincompoop
  • nincompoop
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