#Surface area of a triangular pyramid

92 messages · Page 1 of 1 (latest)

zenith pumice
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Hi, trying to find the surface area of a triangular prism, the base is a equilateral triangle. I will give you the lengths when I get in contact with you. Thank you.

grand shaleBOT
runic hull
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and is it an oblique trianguilar prism or a right triangular prism?

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If you know how to solve for the area of an equilateral triangle this should be easy, and that's pretty much base math

zenith pumice
zenith pumice
runic hull
zenith pumice
runic hull
runic hull
zenith pumice
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idk I got a but it might be wrong I forgot what I was doing 😭

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@runic hull srry 😭

runic hull
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It looks like multiple triangles

runic hull
zenith pumice
runic hull
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it’s (6 * 10.4)+3(6 * 8) I think

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Yeah I got 206.4 too

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So you’re right

zenith pumice
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oh 😭 I forgot the steps I did 😭 could u explain

runic hull
zenith pumice
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Yes

runic hull
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So I multiplied 12 by 0.5 to get 6

zenith pumice
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0.5?

runic hull
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since you have to multiply by 0.5 at some point and order of multiplication does not matter

runic hull
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cause triangle is half a rectangle

zenith pumice
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yes

runic hull
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Then the 3 sides have a height of 8 and a side length of 12 again

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so you do the half thing to get the 6

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and 3(6 * 8) is just a fancy way of saying all 3 sides have an area of 6*8

zenith pumice
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Oh

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help I feel so dumb rn I don’t understand 😭

runic hull
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Let me express the equation a different way

zenith pumice
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why u multiply it by 0.5

runic hull
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On your paper you wrote triangle = 1/2bh

zenith pumice
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idk I did it a few days ago

runic hull
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1/2 is the same thing as 0.5

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So that’s why

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Does that make sense

zenith pumice
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oh help 😭 yes

runic hull
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I just say 0.5 because I don’t like the way 1/2 looks on discord

zenith pumice
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Ohh

runic hull
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it’s not a real fraction lmao 😂

zenith pumice
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REALL 😂

runic hull
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lmk if you have any other questions

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btw, what math are you in?

zenith pumice
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wdym

runic hull
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8th grade math?

zenith pumice
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Yep

runic hull
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Cause I know in some schools they let 8th graders take more advanced math classes, but that’s certainly not algebra and it doesn’t seem like geometry just yet

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I thought when you originally asked me the question, it was going to be about trigonometry in a 3 dimensional space, that’s why I asked all of those questions lol

zenith pumice
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It’s js abt studying for the state test 😭

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it might come up on a test I’m taking tho to get into a specialized hs

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something similar

runic hull
runic hull
zenith pumice
runic hull
zenith pumice
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OHH

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what hs?

runic hull
zenith pumice
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dw I understand

runic hull
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which isn’t huge since there’s not that many high schools

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but It’s definitely higher quality fs

zenith pumice
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true

zenith pumice
runic hull
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10.4 * 12 * 1/2

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But you can multiply in any order

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so i like to simplify, since I can do mental math with 6 easily

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Does that make sense?

zenith pumice
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no 😭 like why did u multiply the base times 0.5

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wait r 8 and 10 the slant heights

runic hull
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so you multiply them by each other

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and then you multiply all that by a half

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to get the area of a triangle

zenith pumice
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so after that what

runic hull
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so you do the other sides the same way

zenith pumice
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Yep

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10 is one side right

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OH

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Can you like specify what each number is in the picture

runic hull
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maybe tomorrow

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Just remind me tomorrow

zenith pumice
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Alright! But is 8 the side and 10 is the slant height?