Question

Calculate the total area of the triangular prism

https://media.glynlyon.com/g_geo_2013/8/groupi68.gif

Answer 1

Any idea?

Answer 2

i know that total area is the lateral area + combined area of the two bases. i just don't know which numbers to plug in or determine

Answer 3

2

Answer 4

so, total area of this part is \(2*(\dfrac{1}{2}*4*6)=24\) right?

Answer 5

yes

Answer 6

you still have lot of things to do, not done yet. I guide you step by step. Let say it is part 1, you have area1 =24, let it there.
Now, by pythagorean, what is the hypotenuse of the triangle?

Answer 7

52

Answer 8

no wait

Answer 9

2 sqrt 13 right?

Answer 10

2

Answer 11

rewatch

Answer 12

you have only 1, it is in the front, right?

Answer 13

yeah sorry i was thinking the one in the back too but they don't have the same measurements

Answer 14

ok, let say it is part 2, and the area 2 = ?? (rectangle with the width =\(2\sqrt{13}\) and the length =8 )

Answer 15

\[16\sqrt{13}\]

Answer 16

good, so far we have area1 and area2, right?
Now, area 3, let see !! how about area of this??

Answer 17

32

Answer 18

good job, how about area 4 which is

Answer 19

48

Answer 20

hihihi, Now, just add them all, you have the answer, right?

Answer 21

got it?