# Linear scale

• Jan 19th 2008, 07:03 PM
crazykitty
Linear scale
Hi everyone, a friend of mine told me about this forum. She has recieved alot of help on here. Im hoping someone can help me out.

I am taking online classes, I am taking contemporary math and we are working with linear equations. Im sure this is simple to figure out but im just not grabbing the concept.

The question is as follows:
A dollhouse and their furnishings are usually built to a scale of exactly 1in. to 1ft meaning that an item 1 foot long in a real house is 1 in long in a dollhouse.

1-What is the linear scaling factor for a dollhouse?
2-If a dollhouse were made of the same materials as a real house, how would their weights compare?

Does No. 1 work out to be 12 square=144 or 12. or am I way off? PLEASE HELP!!:)
• Jan 19th 2008, 07:11 PM
mr fantastic
Quote:

Originally Posted by crazykitty
Hi everyone, a friend of mine told me about this forum. She has recieved alot of help on here. Im hoping someone can help me out.

I am taking online classes, I am taking contemporary math and we are working with linear equations. Im sure this is simple to figure out but im just not grabbing the concept.

The question is as follows:
A dollhouse and their furnishings are usually built to a scale of exactly 1in. to 1ft meaning that an item 1 foot long in a real house is 1 in long in a dollhouse.

1-What is the linear scaling factor for a dollhouse?
2-If a dollhouse were made of the same materials as a real house, how would their weights compare?

Does No. 1 work out to be 12 square=144 or 12. or am I way off? PLEASE HELP!!:)

No. 1: 12'' = 1 ft therefore 1'' to 12'' therefore the scale is 1:12.

No. 2: Assume weight depends on the volume. The unit of volume is cubic ft, that is (ft)(ft)(ft) = (12")(12")(12") = 12^3 cubic inches. So you'd expect the weight of the real house to be 12^3 = (calculator time) times the weight of the dollhouse.
• Jan 19th 2008, 07:44 PM
crazykitty
Mr Fantastic
Thanks!!!!!!:)