Question

Can I get help with this word question?
A model scale of an addition shows 12cm wide base and rises to 15cm. Actual base will be 120 ft. What will the height of the addition be?

Answer 1

Looks like they are wanting you to recognize similar figures and find the scale of the figures. To go from 12cm to 120ft, you will need to know how to convert cm to ft. Once you know that, you will need to divide one by the other (preferably the 120ft/12cm) to find the scale factor. Once you have that, you can multiply that same scale factor to 15cm to find out how many feet it will be. This is gross because of the unit conversion.

1ft = 30.48 cm (from Google)
So then 120 ft = 3657.6 cm
3657.6cm/12cm = a scale factor of 304.8

15 cm * 304.8 = 4572 cm
4572cm/30.48cm = 150ft

I guess it wasn't that hard. Maybe because we went from cm->ft in both length and height, we could have skipped the conversion between cm and feet.

If you ignore the conversion between cm and feet, then the scale factor is simply 120/12 = 10, and then you can multiply 15 by 10 to get 150 feet.

HTH!

Answer 2

Sorry if the above answer is confusing, I learned something myself while I was typing it ;)

Answer 3

THANK YOU SOOOOO MUCH!!! I think I wa missing a point on the conversion. You helped A LOT!!!!

Answer 4

And BINGO - its right!

Answer 5

Hooray! happy to help :)