Help finding a scaled down length? Easy for smart people, unlike me :-)

[matheus]

Hi guys,

I need to figure out the length of the side of a roof on a scaled down model.

The picture below shows what I’m trying to calculate. The real house has a central support pole and it is 10 metres high, with length of the side of the roof at 14.67… metres.

If I was to make a scaled down model of this house where the central support pole is 20 cm, how would I calculate the side roof on the model?

As they say a picture tells a thousand words so I drew one up:​

Am I right in my calculation that the scaling factor is 1/50, since 10m = 1000cm (1000/50=20)?

So then I would say that I need to convert the length in meters to centimeters and then divide by 50, which would give the model length to be around 29.34cm?

Thank you very much for any assistance here

 

[Deleted member 4993]

Hi guys,

I need to figure out the length of the side of a roof on a scaled down model.

The picture below shows what I’m trying to calculate. The real house has a central support pole and it is 10 metres high, with length of the side of the roof at 14.67… metres.

If I was to make a scaled down model of this house where the central support pole is 20 cm, how would I calculate the side roof on the model?

As they say a picture tells a thousand words so I drew one up:​

Am I right in my calculation that the scaling factor is 1/50, since 10m = 1000cm (1000/50=20)?

So then I would say that I need to convert the length in meters to centimeters and then divide by 50, which would give the model length to be around 29.34cm?

Thank you very much for any assistance here

Your calculations are correct.

How did you measure 14.671.... (to tenth significant figure) m? I don't think even the wavelengths of different colors of lights have been measured to that accuracy?

 

[matheus]

Hi Subhotosh Khan,

Thank you so much for your reply confirming my calculations are correct, I am very grateful

Ha ha yes you are right about my incredibly accurate roof measurement, which was the number I got from a conversion calculator :cool:

Have a great day

 

[Steven G]

Hi guys,

I need to figure out the length of the side of a roof on a scaled down model.

The picture below shows what I’m trying to calculate. The real house has a central support pole and it is 10 metres high, with length of the side of the roof at 14.67… metres.

If I was to make a scaled down model of this house where the central support pole is 20 cm, how would I calculate the side roof on the model?

As they say a picture tells a thousand words so I drew one up:​

Am I right in my calculation that the scaling factor is 1/50, since 10m = 1000cm (1000/50=20)?

So then I would say that I need to convert the length in meters to centimeters and then divide by 50, which would give the model length to be around 29.34cm?

Thank you very much for any assistance here

What do you do to change 10m to 20 cm? You double the 10 and change m to cm. Do the same to the other length. That is 14.67105995m would become 2*14.67105995 cm. Simple, right?