Question

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

Answer 1

are those dimensions, or multiple choice answers?

Answer 2

multi choice

Answer 3

\(\Large V_{prism} = Bh\)

where B = the area of the base, and
h = height of the prism

Answer 4

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.

Answer 5

okay

Answer 6

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

Answer 7

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

Answer 8

13?

Answer 9

\(\Large A_{triangle} = \dfrac{bh}{2} \)

How did you get 13? What operations did you do?

Answer 10

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

Answer 11

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

Answer 12

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 = ?

Answer 13

24

Answer 14

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 = ?

Answer 15

I added lol, i got 12

Answer 16

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

Answer 17

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 ?

Answer 18

umm 1152??

Answer 19

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

Answer 20

ohh i thought 12 was squared

Answer 21

Im REALLY bad at this

Answer 22

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.

Answer 23

96

Answer 24

so what do I do now with 96?

Answer 25

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

Answer 26

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

Answer 27

okay thanks.. One more ?

Answer 28

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

Answer 29

okay

Answer 30

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