Question

The Empire State Building is just over 1,450 feet tall. In anticipation of visiting this landmark on your vacation, you create a model of it using blocks.

a) Suppose you are making a model where one block represents 2 feet. About how many blocks tall is your model of the Empire State Building? What is the scale factor?

Answer 1

365 and 1/2 blocks will be used

The scale fact is 0.25

Explanation:

So . .

• We create a ratio 1:2

This represents 1 block is equivalent to 2 feet

• Simply 1450 ÷ 2 = 725

So . . There are 725 feet and because One block is equal to 2 feet you divide 725 ÷ 2 = 362.5 blocks will be used

To find the scale factor simply divide the deminsions of the new shape by old

• 362.5 ÷ 1450 = .25