Question

"Both of the prisms below have the same volume. What is the height of prism #2?" How do I find the height of prism two?

Answer 1

ah..ok. Lets see

Answer 2

Does the question you are looking at say, "find the height?"

Answer 3

Yea, it wants me to find the height of #2

Answer 4

Ok..so I would set it up as a proportion

Answer 5

Lemme draw it out and show ya

Answer 6

Okay so we can see that 2 is the height for prism 1
and x is the height for prism two..correct?

Answer 7

Correct

Answer 8

So lets set up a proportion!
What are the base lengths for prism 1 and prism two?

Answer 9

5 and 5? and just to just out a limb is the answer 5 by any chance?

Answer 10

Mmm..Idk. I was going to solve it with you lol.

Answer 11

Do you know if both of the prisms have an equal volume?

Answer 12

Haha sorry :b When you drew it out I kinda flipped it on its side, yes they have an equal volume

Answer 13

oh!!!!

Answer 14

Then I have a much easier way for you to solve it

Answer 15

forget proportions! lets make equations!!

Answer 16

isn't this as simple as
V1 = 2*5*5 = V2 = 1*5*h
so find h from
2*5*5 = 1*5*h

Answer 17

Ok..so do you know what the Volume formula is?

Answer 18

Yep. @gohangoku58 got to where I was leading to

Answer 19

volume of prism is just the product of all 3 sides.

Answer 20

mhm..

Answer 21

Thanks KC and gohangoku58 :D I'm going to do the practice questions just to practice it a little more ^_^

Answer 22

:)

Answer 23

welcome ^_^