Learning how to work out volumes can be very important for all sorts of applications – mainly in manufacturing and transportation.
A ‘prism’ is a shape with a constant cross section, such as a cardboard box. It basically means that if you cut the prism in half the shape will be the same in the middle:
Try the Quick Test volumes of 3D shapes
To work out the volume of the prism:
sometimes this is given to you, particularly if the shape is fairly complicated
-
-
- if its not given you should be able to calculate – although it’s a good idea to draw a sketch of the cross section to make your working easier
- some exam questions might require a cross section to be calculated in stages
- ..and then multiply by the length
-
A fairly typical exam question would be either to calculate the volume directly.. or a more practical example, such as:
“A light bulb box measures 6cm x 6cm x 10cm.
The light bulbs are packed into cartons which measure 36cm x 36cm x 80cm.
Calculate the number of light bulb boxes that completely fill one carton.”
To answer the question you’ll need to work out –
-
- the volume of the carton
- the volume of the light box
- divide the carton volume by the light bulb box volume
So
View the videos on YouTube:
How to work out the volume of a cuboid / regular prism
How to work out the volume of a regular prism – exam question
this is so helpful for my level 7 homework
Wait so the first thing you do is that called the cross section the thing
you did where you found the area of the triangle first?
better consider gettin a better camera m8
Thanks so much maths test tommorow
This explains it alot
Brillient technique and this helped me a lot, i would say that the quality
of your mic is not very good but i cant complain as you are helping me pass
my GCSE’s. Just something to keepe in mind 😛 Thanks M8
Thanks for the tutorial! could you possibly get an improved mic so I can
hear you better? Just saying.
Thank you
I have a my final tomorrow and this helped so much(: Thank you
Take an easier route.
3 x 4 x 7= 84. Now just go half of that number and say that half of 84 is
42
V= 42cm(3) <--- that three is supposed to come out as cubed sorry.
I have learning difficulties and if u we’re my teacher I world be the
smartest kid on earth I have learnt so mush from u u explained it easy as I
was able to understand which most teachers don’t do thank you now I’m ready
for my exam
I’ve got a test next week and im so ready for it thx to u!
do you not half your answer?
Thanks Simon 😛
Tomorrow is my final test
Ok so I am in Africa,we use half base times height formula,plz help…
Hi there, thanks for the video mate however im a bit confused as my
question has :
8×15 for the triangle, but then then 17 x 10 for the larger side?
thanks lad this helped with my GCSE revision
Excellent explanation. Very clear and understandable. Just what I was
looking for. Thank you.
thank you Simon I was really struggling but I think Iv’e got it no 🙂
this is actually helpful thanks so much 🙂
Your voice kinda sounds like a robot. I think it’s because of the camera or
something, about to watch it, I see great comments so, I am hoping it’s
helpful.
Thanks
thank you soo much
thank you Simon i have a mock exam coming up and i have been stuck on
prisms for the whole of this week and u showed me how to do it so thank you
:/)D
safe man
thanks, besides this helped me very well
holy hell… helped me so much thanks heaps.
How to work out the volume of a triangular prism:
http://youtu.be/Hkb6W4qEVck
Great help much appreciated
Thanks a lot! Maths test next week!!!
This helped me revise for my level 7 assessment coming up! Thanks!
Thanks ! This helped me a lot i got 88% marks
yess I got an A maths. Thanks so much, if it was not for this video then i
might not have got the A
You made it so simple! Thanks a lot.
thank you simon u r a teacher who can explain clearly u r so helpful thank
u so much
thanks ur awsome
i mean different
in my class we use a diffrent formula
tnxs dude
helped a lot
yolo
thank you 🙂
Thanks
awesome and the most simple video thxs helped me with my test and got
awesome marks THANKX
THNQ sir … ^_^
thanks appreciate it 🙂
thank you mate really helped.Got test tomorrow.
good!
Thanks I got stuck and you helped me a lot do more videos
Thank you so much! I don’t have a very good geometry teacher that explains
this stuff well and this helped me a lot!
thanks this helped
Thanks this helped a lot with my mock GCSE’s
thank you now i wont get a detention :-)……………………..i
subscribed
Again, this helped a lot.
This helped so much! I’ve subscribed!!! 🙂
I got maths exam tomorrow and this has helped me to understand very easily!
Thanks a million 🙂
you explained it so much more simpler 🙂
I was stuck for a maths test but I’m fine now thanks for the help!
Thank you so much! This video really helped a lot:)
thanks do you think you could do a video of l shaped prisims
This helped a lot,now i don’t have to worry about my homework!!
i had (W)24cm (H)20cm and (L)53cm and i got 3052800cm(3)
Hah i was stuck on this question and it had the exact same lenghts as the
ones you used in your video 🙂 thanks
what if you have all the sides of the triangle then what should you do
Fantastic video, you definitely helped me with solving these types of
questions!
Thank you, this is really helpful!
Thanks this will really help out my angel on her SAX
Hey simon! Thanks a bunch really got me out of a tight spot with some
homework :”) – James
Thank you for the great help!!
Thanks it really helped
Omg I watched this the day before my maths test and it was in it!! I was so
grateful for those 3 extra marks that I came back to comment!! Thanks!
OMG i got an A+ on my test!! Thanks alot you helped so
much!!!!!!!!!!!!!!!!!!
This helped a lot! Finals tommorow, and this is a question, I’ll remember
just needed a quick refresher! Thanks!
It was really helpful thank you and this question on 1380/3h june 2010
edexcel paper is worth 2 marks
For some reason a Englishman explaining these things are more reassuring.
Thanks, this helped me a lot and hope that this kind of question appears in
2 weeks time on my maths exam.
thank you MR Simon because of you i got 100% in exam
Thanks alot u helped me alot thanks thanks
Very useful and resourceful
You have really given me the way of working out volume as this was one of
the topics I was really stuck on! Thank you!
Thank you thankyou thankyou so much helped me a lot
Could you pls make a video for some of the complicated prisms as well. The
ones which pop up in exams frequently. Thanks.
Good job on the video, you helped thousands of kids get the right answers
on that one math test tomorrow.(Including me.)
This helped me so much! Thank you! 🙂
Cheers boss
Thanks
A+ on my test
Thank you a lot. I must mention it was hard to hear you though 🙁
I watch different videos,But I didn’t get it.
However this video was helpful to me. Pls keep up ur great job.
when ever i need help on math you are always there with a video so thanks
!!
THANK U!!!!
Very useful! Thank you so much
Thanks I got a 100 cause of u
thanks.
This video helped a lot I am revising for my yr 9 SATS thank you so much
clearer than bitesize and all the other online help
thanks
Thank you.. Helped me alot!
Thankyou
Saved my butt! Thanks!
Good teaching method
Very helpful, thank you.
THANK YOU!
plz can you work out this question plzz if u dont mine (respected sir) !!!!!
find the value of 27 of 1/3 and
give that
8 (-)square root of 18 divided by 2 square equal to a+b square of 2 where a
and
b are integers
and fine the value of a and the value of b
okllolrah
thanks for explaining unlike my teacher, thanks !!!
It is brilliant video!
Thanks a lot it help-me out:D
THANK UUUUU
Thanks this really helped with my work
Was actually really helpful:D thank you
Hi – you’d need to know the depth. The area would be 1/2 (base x height) so:
1/2 (5 x 15) = 37.5 square inches.
Once you know the depth you should be able to work out the volume.
I hope this helps and all best
S
5. What is the volume of the triangular prism with the base edge of 5 inches and height of 15 inches?
great vid thx for the help! 🙂
Thanks helped
Highly appreciated and Thank You very much.
The comment took out my separation lines – I hope you can read this OK
Hi – OK, you need a bit of algebra. Make the top 2x and the bottom 3x.
Area of a trapezium is 1/2 (a + b) x h
So,
600 = 1/2 (2x + 3x) x 15
600 = 1/2 (5x) x 15
40 = 1/2(5x)
40 = 2.5x
16 = x
If x = 16 then the top will be 32cm and the bottom is 48cm.
You can check by
Area = 1/2 (a+b) x h
and then putting the numbers in. You should get an area of 600cm2.
I hope this helps, it’s not easy to type out in a comment box!
All best
S
Kindly help to solve the below question.
The ratio of the parallel sides of a Trapezium is 2:3. The distance between them is 15cm. If the area of the trapezium is 600cm2, find the lengths of parallel sides.
Thanks & Best Regards.
Thanks.
Great video mate ! Great help
Glad it helped 🙂
Thank you so much. Life saver.
Hmm .. thanks. have been thinking about a label mike so will do now!
Thanks! I do find the mic you are using…distracting..
thankkkkkkkkkk uuuuuuuuuuu
soz excuse ma spellin
thx matehelp ma alot
thankx love i am so tankful p.s i love you
Thank you Sir.
thanku! u made every thing easier for me. it all makes sence now 🙂