Ask your own question, for FREE!
Mathematics 8 Online
OpenStudy (skittles_for_life6422):

HELP!!!!!

OpenStudy (daniel.ohearn1):

Hey, what will it be?

OpenStudy (skittles_for_life6422):

OpenStudy (daniel.ohearn1):

B is denoted as point and also as the area in this problem which could be confusing at first. Where do you see the base of the prism?

OpenStudy (skittles_for_life6422):

the base is points b & a & e

OpenStudy (daniel.ohearn1):

and one other point that's not labeled right?

OpenStudy (skittles_for_life6422):

yes, and how do i find the base

OpenStudy (daniel.ohearn1):

well sounds like you found it then.. the area is just the surface of area of the shape it has..

OpenStudy (skittles_for_life6422):

i don't understand how i already found it @daniel.ohearn1

OpenStudy (daniel.ohearn1):

The base of the prism is the bottom of it right? So you were saying it's the shape shape with corner points A,B,and E?

OpenStudy (mathmale):

Please look at the dimensions of the base. What is the length of the base? What is the width? What is the area? Show your work, so that you can describe it later.

OpenStudy (skittles_for_life6422):

A to B is 3.5

OpenStudy (skittles_for_life6422):

E to A is 3

OpenStudy (mathmale):

I view the distance from A to B as 4. Please show how you obtained 3.5.

OpenStudy (skittles_for_life6422):

so the base is 10.5

OpenStudy (daniel.ohearn1):

What is A to B skttles?

OpenStudy (skittles_for_life6422):

i got 3.5 because the E to A line is not all the way touching the 4

OpenStudy (mathmale):

Please, would you answer questions a bit more linearly? I'm asking you how long the base is; you believe it's 3.5 and I believe it's 4. We must determine why we have different answers. We're not ready to find the aera of the base until we've done that. Notice that daniel is asking you the same question. What is the distance from A to B?

OpenStudy (mathmale):

Ask Daniel what he thinks.

OpenStudy (skittles_for_life6422):

so @daniel.ohearn1 what do you think B to A is

OpenStudy (mathmale):

I believe Daniel would KNOW, not think, what this distance is.

OpenStudy (mathmale):

Perhaps you could persuade him to explain how to find this distance.

OpenStudy (daniel.ohearn1):

B to A is the distance between the points (4,3,1) and (0,3,1)

OpenStudy (skittles_for_life6422):

oh i see now sorry guys

OpenStudy (skittles_for_life6422):

it is 4

OpenStudy (skittles_for_life6422):

so the base is 12

OpenStudy (daniel.ohearn1):

We don't need further critical speculation of the graph to see that this right, and numerically verdant.

OpenStudy (daniel.ohearn1):

You are right there

OpenStudy (skittles_for_life6422):

ok so when i put in the box show I write " A to B is 4 & E to A is 3. To get the base I multipled the Length & Width and i got 12

OpenStudy (mathmale):

"so the base is 12" ... Well, not quite. It's the AREA of the base that is 12. Since this whole problem is about areas, it was worth it to me to tell you this.

OpenStudy (mathmale):

Now you have a couple more areas to find in pretty much the same way.

OpenStudy (skittles_for_life6422):

ok

OpenStudy (mathmale):

Look at the ends of this prism: They're triangles. How would you find their area (same for each end)? If you know the distance from A to B (which you now do), and y ou know the area of the ends, how would you go about tfinding the volume of this prism? Discuss this with Daniel, please.

OpenStudy (mathmale):

I must confess I forgot that the goal of this problem is to find the volume of the prism, not the total surface area. But if you can answer my lastest question, you'll still be on track to find the volume.

OpenStudy (skittles_for_life6422):

do you agree that the height is 4

OpenStudy (mathmale):

Yes.

OpenStudy (mathmale):

What is the base of the triangle? If the height is 4, what is the area of the triangle?

OpenStudy (skittles_for_life6422):

ok do you know what the formula for volume is i forgot

OpenStudy (mathmale):

Yes, I do, but I strongly encourage you to look that up yourself. Google "volume of a rectangular prism."

OpenStudy (skittles_for_life6422):

ok

OpenStudy (mathmale):

A more pressing question is: What is the area of the triangular end of the prism?

OpenStudy (mathmale):

If you find the area, then multiplying it by the length of the prism (4) will give you the volume of the prism. Volume = (base)(height).

OpenStudy (skittles_for_life6422):

v=lwh/3 is that correct

OpenStudy (daniel.ohearn1):

What if you had a volume LWH? What would that prism look like?

OpenStudy (skittles_for_life6422):

so guys is this correct

OpenStudy (skittles_for_life6422):

is this correct @daniel.ohearn1 @mathmale

OpenStudy (daniel.ohearn1):

V does not equal lwh/3 lwh would look like a rectangular box right? In two dimensions lw is a rectangle but what we have is triangular prism right?

OpenStudy (skittles_for_life6422):

no

OpenStudy (skittles_for_life6422):

if you scroll to the top of the page you will see it is a Right rectangular pyramid

OpenStudy (mathmale):

Agreed. And the ends of this pyramid are triangles, and the triangles are right triangles.

OpenStudy (daniel.ohearn1):

It actually tells u its a trianglular prism and what do you know about the area of a triangle?

OpenStudy (mathmale):

We already know that the base has length 4. The height is also 4. what is the width of the base?

OpenStudy (skittles_for_life6422):

thanks so much guys your the best

OpenStudy (mathmale):

Very happy you've found the answer. And thank you very much Daniel, for y our helpful input.

OpenStudy (daniel.ohearn1):

Right, if you have no more questions about it, skittles_..

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!