Question

Time to ask a question :P

There's a triangular prism of which 2 sides of the base triangle (not the base) is x. The height of the triangle is h. The prism's height is h. Prove that the prism's volume is -8x^2 + 48x - 64.

(Diagram is to follow in case people get confused)

Answer 1

The diagram's here:

(I am sorry that my drawing is crap :P)

Answer 2

hmm, you are told nothing of how long it is?

Answer 3

@zzr0ck3r The third side of the base triangle? no.

Answer 4

what are you working on in class?

Answer 5

The same question was just asked by you in another question, so I suppose you need a clue where to start :P

The question's related to quadratic equations (duh)

Answer 6

wow your a super nice guy for someone who is trying to help out.

Have fun m8, im sure things are going to turn out fine for you.

Answer 7

PS. The reason I asked in the other question is because she is solving quadratic equations, there are 3 ways of doing this, and it is best to help them with the way they are doing it in class. So we ask what method is one using before we help.

Answer 8

@zzr0ck3r Of course I know there are 3 ways of solving quadratic equations, but this question is asking you to form a quadratic equation with the data given (somehow, if I knew I wouldn't be here :P)

Answer 9

@zzr0ck3r Notice the last bit of the question: Prove that the prism's volume is -8x^2 + 48x - 64.

Answer 10

Ok, ive been working on this for a couple of minutes now. It obviously has something to do with the formula \[(1/2)blh\]. Meaning the area of the base multiplied by the height. You can get the length of the base using Pythagorus theorem.

Answer 11

you know integration?

Answer 12

You asking OP or everyone?

Answer 13

@myko The paper appears on an exam that doesn't contain calculus questions.

Answer 14

Is it not as simple as applying pro numerals to the volume formulae, excuse my ignorance.

Answer 15

maybe this would be a start....
later the volume would be just 2y*h*h*1/2