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Mathematics 22 Online
OpenStudy (anonymous):

I need major help on these links it is an important part of my grade please help me understand this topic thanks :) http://vtok.me/pic/x99UDUS7.jpg http://vtok.me/pic/TGs77kQt.jpg http://vtok.me/pic/2b9tB9Zj.jpg http://vtok.me/pic/kiyhjaX3.jpg

OpenStudy (rajee_sam):

Picture one they are saying the side view is your base

OpenStudy (rajee_sam):

They are also giving you clue that you have divide it into two rectangles and one right triangle so draw the side on a piece of paper and see how you can divide it into these 3 shapes. Hint draw lines from the vertices

OpenStudy (anonymous):

@eSpeX me and my other classmate here (who posted the question) needs help

OpenStudy (anonymous):

It is volume problems

OpenStudy (espex):

Which problem are you on and what part is giving you difficulty?

OpenStudy (anonymous):

At the moment 16 and 17 are giving me difficulties.

OpenStudy (anonymous):

yea me 2

OpenStudy (espex):

Okay, looking at 16, they are asking for the volume of this triangular prism. Given the information that you have, how would you suggest approaching this problem?

OpenStudy (anonymous):

I think we are supposed to look at a side view like the example

OpenStudy (anonymous):

well starting with this i would say you would make a formula V=bh or in this case V= 1/2 bhw

OpenStudy (anonymous):

Yes

OpenStudy (espex):

Exactly, now how can you find the height of the triangle of the base?

OpenStudy (espex):

A hint, @Itrytohelpu was on the right path by looking at the shape in a different orientation.

OpenStudy (anonymous):

I think we may look at the side with 5ft and 13 ft, which is the base

OpenStudy (espex):

Right, if you rotate the shape you get a triangle that looks like this: |dw:1369871433786:dw|

OpenStudy (anonymous):

Oh yes, the 12 ft is there because on the other side it says 12 feet and it is the exact length.

OpenStudy (espex):

Precisely. Now what do you get for the volume?

OpenStudy (anonymous):

So far, you get 780 ft I think, but you have to multiply it by \[\frac{ 1 }{ 2 }\]

OpenStudy (espex):

What numbers did you use to get that value?

OpenStudy (anonymous):

I used the three numbers in the triangle, 12ft, 13ft, and 5ft.

OpenStudy (anonymous):

I multiplied them together

OpenStudy (anonymous):

and by half

OpenStudy (espex):

Once rotated, your prism looks like this: |dw:1369871743915:dw|

OpenStudy (anonymous):

ohhh so basically 13 is representing the hypotenuse and the length is 8

OpenStudy (espex):

Yes!

OpenStudy (anonymous):

so now instead its going to be V=1/2 (12) (8) (5)

OpenStudy (anonymous):

I think that may work

OpenStudy (anonymous):

If you do those calculations you get 240 ft \[^{3}\]

OpenStudy (anonymous):

Cubed

OpenStudy (espex):

Excellent work.

OpenStudy (anonymous):

Is that the final answer to #16?

OpenStudy (espex):

Indeed.

OpenStudy (anonymous):

Ok I am moving on to 17 now.

OpenStudy (anonymous):

so the base of the figure in 17 is 85 cm right.......so the height is 180 cm but on the top its a triangle and the height of the triangle is 25cm......ummm am i right?

OpenStudy (espex):

The image is difficult for me to see, can you draw it?

OpenStudy (espex):

Or maybe I can. Is this what is shown?|dw:1369872797529:dw|

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