Question

Hi! Can someone tell me what the formula of a triangular prism to find the volume STEP BY STEP

Answer 1

I can help :)

Answer 2

yay thanks! :D

Answer 3

There's two ways I can think of

Answer 4

First of all do you know the formula for the area of a triangle?

Answer 5

No, can you please tell me so I can write it in my notes :)

Answer 6

Okay, how about the area of a square/rectangle?

Answer 7

If not I can start from here :)

Answer 8

Wait, I am trying to find the volume...forgot to add o_o

Answer 9

Yup, the volume :), we have to use surface area just a bit as well, I'll start with this:

Answer 10

\[Area = length * width\]
This would be the area of a square/rectangle

Answer 11

ok :)

Answer 12

And this is the difference with triangles:

Answer 13

why? o_o

Answer 14

\[A = \frac{ 1 }{ 2 } base * height\]

Like the area of a square, but half of it.

Answer 15

Ah, I get it! :D

Answer 16

So the two ways we can solve for a triangular prism:

Answer 17

Either:

Answer 18

Wait, so I find area and triangles, this sounds like surface area :/

Answer 19

We can take the area of the triangle of a triangular prism and multiply by the length to find the volume

Answer 20

And this is a 3d figure if you can imagine

Answer 21

Usually a volume is like a surface area multiplied by depth

Answer 22

I can use the drawing for an example? :)

Answer 23

ok

Answer 24

So here's a triangular prism

Answer 25

We can solve for the volume by taking the area of the triangle, and multiplying by the length

Answer 26

Oh!

Answer 27

So what would be the area of the triangle which is:
\[A = \frac{ 1 }{ 2 }base * height\]

Answer 28

Okay, so thats all i do..thats easy o_o

Answer 29

You can also multiply:

Base of triangle * length of triangle * length of prism and divide the entire number by 2

Answer 30

ok :) thanks soo much