Question

I need help finding the lateral area for a triangular prism
the equation:
first they used the Pythagorean theorem to get a which becomes a = rad 52 or 2 rad 13
then to find the front face they used the formula A = (w)(h) = 2 rad 13 times = 16 rad 13
to find the left face they used the formula A = (d)(h) = 4 times 8 = 32
to find the back face they used the formula A = (d)(h) = 6 times 8 = 48
to find the lateral area they used the formula:
Lateral area = front face area + left face area + back face area
Lateral area = 16 rad 3 + 32 + 48
Lateral area = 80 + 16 rad 3

Answer 1

@jim_thompson5910

Answer 2

I dont know why they used 4 when on the picture it shows 3

Answer 3

the work you have posted is way too complicated and it's incorrect

focus on one rectangular panel. It's 3 by 6, so it has area 6*3 = 18 square inches

since the triangles are equilateral, this means all panels are congruent, so we have 3*18 = 54 square inches of lateral surface area

Answer 4

ok

Answer 5

but it said that the answer was correct

Answer 6

that was why I was confused

Answer 7

Can I see a screenshot of the full problem?

Answer 8

that was kinda all and then I had to choose an answer

Answer 9

please post a screenshot if you can

Answer 10

how do I do that?

Answer 11

are you on a windows machine? or a mac?

Answer 12

I have a google chrome laptop

Answer 13

go here
https://support.google.com/chromebook/answer/183101?source=gsearch&hl=en

scroll down to where it says `Take a screenshot of your current page` or `Take a partial screenshot`

Answer 14

doing that will either make you save the image, or it will put it in your clipboard

if nothing seems to happen, try to go to a paint program and paste the image in

Answer 15

ok

Answer 16

https://docs.google.com/document/d/1JnKCiavxfVvA0BE-0kswoGhintEPUv8gyInMoN2mj9M/edit

Answer 17

does that work?

Answer 18

let me try

Answer 19

it's showing me this (see attached)

Answer 20

https://docs.google.com/document/d/1JnKCiavxfVvA0BE-0kswoGhintEPUv8gyInMoN2mj9M/edit

Answer 21

if you can, save it as a jpg or png, then attach it to open study

Answer 22

see if that is better

Answer 23

ok let me try

Answer 24

ok I requested access

Answer 25

it'll probably notify you via email

Answer 26

let me know if it went through or not

Answer 27

there?

Answer 28

I'm there now. Thanks

Answer 29

yeah just as I thought, it's `54 sq ft` though they made an error with the tick marks. The double tick marks mean "inches" not "feet".

Answer 30

ok

Answer 31

so you multiplied 6 and 3 and then multiplied that by 3?

Answer 32

area of one panel = 6*3 = 18

area of all three panels combined = 3*(one panel area) = 3*18 = 54

Answer 33

ok thanks so much again you are a lifesaver

Answer 34

you're welcome

Answer 35

is there a shorter way to find the total surface area?

Answer 36

@jim_thompson5910

Answer 37

what is the height of the triangle?

Answer 38

3?

Answer 39

3 is not the height

Answer 40

I want the length of this segment

Answer 41

the segment cuts the side of 3 in half to get 3/2 or 1.5