Find the volume of the prism.
192 cu. ft.
64√(13) cu. ft.
96 cu. ft.

- anonymous

Find the volume of the prism.
192 cu. ft.
64√(13) cu. ft.
96 cu. ft.

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- anonymous

are those dimensions, or multiple choice answers?

- anonymous

multi choice

- anonymous

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## More answers

- mathstudent55

\(\Large V_{prism} = Bh\)
where B = the area of the base, and
h = height of the prism

- mathstudent55

You have a triangular prism. The base is a triangle. To find the volume of the prism, you need to find the area of the triangular base and multiply it by the height of the prism.

- anonymous

okay

- anonymous

so From what i can see of it, it is 28 but I'm most likely wrong

- mathstudent55

It's not 28. We'll do it together.
Look at the triangular base.
What is the area of the triangle below?
|dw:1438106362527:dw|

- anonymous

13?

- mathstudent55

\(\Large A_{triangle} = \dfrac{bh}{2} \)
How did you get 13? What operations did you do?

- mathstudent55

That's why we are working together, so you'll understand it.

- anonymous

operations? Guess I really missed a lot on this subject.....)

- mathstudent55

The area of a triangle is the base times the height divided by 2.
In your triangle, the base is 4 ft, and the height is 6 ft.
What is 4 * 6 = ?

- anonymous

24

- mathstudent55

Operations are addition, subtraction, multiplication, division.
Somehow you arrived at 13. I was just wondering how you got that number.
Yes, 24 is correct. That is the base times the height. Now we divide that by 2.
What is 24/2 = ?

- anonymous

I added lol, i got 12

- mathstudent55

Ok. 12 ft^2 is correct. The area of the base is 12 square feet.

- mathstudent55

Now we have the area of the base, 12 ft^2.
Now we use that number in the formula for the volume.
The volume of a prism is the area of the base times the height of the prism.
The area of the base is 12 ft=^2. The height of the prism is 8 ft.
What is 12 ft^2 * 8 ft ?

- anonymous

umm 1152??

- mathstudent55

How did you get that?
All you need to do is multiply 12 * 8
Then ft^2 * ft = ft^3, which are proper cubic units for a volume.
Just multiply 12 * 8

- anonymous

ohh i thought 12 was squared

- anonymous

Im REALLY bad at this

- mathstudent55

No. The units ft^2 are squared because 12 ft^2 is an area.
Remember, we found the area of the base to be 12 ft^2.

- anonymous

96

- anonymous

so what do I do now with 96?

- mathstudent55

Correct.
Since it's a volume, and we are dealing with ft, the answer is
V = 96 ft^3

- mathstudent55

You can also write 96 ft^3 as 96 cu ft.
It just means 96 cubic feet.

- anonymous

okay thanks.. One more ?

- mathstudent55

You're welcome.
Sure, but pls start a new post.

- anonymous

okay

- anonymous

NM I have to later not working right now...

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