Question

Two students created models of the same building. One student used a scale factor of 3 centimeters (cm) = 15 meters (m). The second student used a scale factor of 4.5 = 15 m. The height of the original building is 20 meters. What is the difference between the heights of the two students' models?

Answer 1

Answer:

2 cm

Step-by-step explanation:

First student:

Scale factor = 3 cm to 15 m

Height of original building = 20 m

Height of the first student's model = $\frac{20*3}{15} = \frac{60}{15} = 4 cm$

Second student:

Scale factor = 4.5 cm to 15 m

Height of original building = 20 m

Height of the first student's model = $\frac{20*4.5}{15} = \frac{90}{15} = 6 cm$

Difference between the heights of the two students' models = 6 cm - 4 cm = 2cm