Help - volume of a structure

I need to calculate the volume of a structure to see if it needed planning permission but I haven't a clue how to do it

It's a sloping pitched roof, side profile is a triangle with a right angle bottom right, shaped like a wedge of cheese. It's 1.5m high, 3m across the bottom, and 7m wide.

Can anyone do it for me? Please????

15.75 cubic metres.

15.75m3

at a guess, 1.5m * 3m * 7m = 31.5 cu m, halved as it's a right angled triangle, so 15.75 cu m

[timwilky]

Come on ed think.

From what you described think of a Right angle triangle 3m base 1.5m height.

Area= 3/2 * 1.5 (Half base * Height) when I was at school = 2.25m**2

Project this by the depth ie 7m to give the volume 2.25*7 = 15.75M**3

Oh look we have all done it

Don't worry I had an argument with my brother who insisted 100 sq metre had a dimension of 100m * 100m

I was only when I explained if you had 10 1m* 1m flags how much area would they cover, err 10 sq metre, So lay a second row how many, 20 flags, so 20 sq metres. But you said the would be 20 metres wide by 20 metres deep, how deep is it err 2. So how big is 100m wide by 100m deep , err 100,00 sq metre.

ed. if you make it into a scomplete oblong it would then be 3x7x1.5 = 31.5.
divide that by 2 and you get 15.75 which is the volume i.e 15.75 cubic metres.

i think?

Daryl.

OK what a bunch of cleverclogses!!! It's a long time since I did O level maths - 1977 in fact and I swore then 'd never do geometry again

Have a green bear, each of you

Oh - and thank you!!

Originally Posted by Ed

Have a green bear, each of you

wot's one of those

Originally Posted by Mr Toad

wot's one of those

I remember my primary teacher giving them out. One of those sticky jelly sweets that stick in your teeth.

[northwind]

Build an exact model of it, and put it on a scale. Then, fill it with fresh water. 1 litre of fresh water weighs 1 kg, so the difference in weight tells you the volume.

HTH.