anonymous
  • anonymous
Find the volume of the prism. 192 cu. ft. 64√(13) cu. ft. 96 cu. ft.
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
are those dimensions, or multiple choice answers?
anonymous
  • anonymous
multi choice
anonymous
  • anonymous
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mathstudent55
  • mathstudent55
\(\Large V_{prism} = Bh\) where B = the area of the base, and h = height of the prism
mathstudent55
  • 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
  • anonymous
okay
anonymous
  • anonymous
so From what i can see of it, it is 28 but I'm most likely wrong
mathstudent55
  • 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
  • anonymous
13?
mathstudent55
  • mathstudent55
\(\Large A_{triangle} = \dfrac{bh}{2} \) How did you get 13? What operations did you do?
mathstudent55
  • mathstudent55
That's why we are working together, so you'll understand it.
anonymous
  • anonymous
operations? Guess I really missed a lot on this subject.....)
mathstudent55
  • 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
  • anonymous
24
mathstudent55
  • 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
  • anonymous
I added lol, i got 12
mathstudent55
  • mathstudent55
Ok. 12 ft^2 is correct. The area of the base is 12 square feet.
mathstudent55
  • 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
  • anonymous
umm 1152??
mathstudent55
  • 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
  • anonymous
ohh i thought 12 was squared
anonymous
  • anonymous
Im REALLY bad at this
mathstudent55
  • 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
  • anonymous
96
anonymous
  • anonymous
so what do I do now with 96?
mathstudent55
  • mathstudent55
Correct. Since it's a volume, and we are dealing with ft, the answer is V = 96 ft^3
mathstudent55
  • mathstudent55
You can also write 96 ft^3 as 96 cu ft. It just means 96 cubic feet.
anonymous
  • anonymous
okay thanks.. One more ?
mathstudent55
  • mathstudent55
You're welcome. Sure, but pls start a new post.
anonymous
  • anonymous
okay
anonymous
  • anonymous
NM I have to later not working right now...

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