Question

the base of a truncated prism is a triangle with sides (in cm) 8, 12, and 10. if the heights are (in cm) 20, 18, and 12 respectively, what is its volume?

Answer 1

please can you make a drawing of your prism?

Answer 2

is this right? im not sure how to put the heights given. i know it said respectively but im confused

Answer 3

yes! I have the same problem!

Answer 4

I think that your prism is like below:

Answer 5

namely, your prism is truncated by means of a plane which is not parallel to the plane which contains the base of your prism

Answer 6

oh, ok. so, what do i no next?

Answer 7

I'm working on your problem...

Answer 8

ok thanks. take your time.

Answer 9

It is not simple, in order to get your answer we can use the integral calculus in three dimensions

Answer 10

otherwise, you can draw your prism, using AutoCAD, and then there there is a command which allows to get the volume of such prism

Answer 11

oh shoot really? woah. thanks anyway! appreciate the help.

Answer 12

:)
If you are familiar with integral calculus in three dimensions, I can help you in getting your answer

Answer 13

otherwise, please try to tag another helper

Answer 14

ill just try again later, there are still other questions i need to answer. haha. thanks anyway

Answer 15

believe me integral calculus in 3 dimensions is pretty hairy!!

Answer 16

is that the on where there's x and y and z and with the graphs and all, or no? haha

Answer 17

yes! we have to consider the equations of some planes

Answer 18

integral calc is very hard haha but im just trying to focus first on my solid mensuration

Answer 19

ok!

Answer 20

please try to tag another helper

Answer 21

oh boy, i dont want to get in on that. ill try to go back to this! haha. thanks again!

Answer 22

yup thanks. ill try to answer other questions first.

Answer 23

ok! thanks! :)