Solve the problem.
-Suppose you build an architectural model of a new office complex using a scale factor of 67. How will the amount of paint needed for the exterior of the actual office complex compare to the amount
Of paint needed for the scale model?
A)67 times as much
B)134 times as much
C)4489 times as much
D)300,763 times as much

Question

Quizplus · Accepted Answer

The amount of paint needed is related to the surface area of the object. Since the scale factor is 67, the surface area scales with the square of the scale factor, which is $67^2 = 4489$. Thus, the actual office complex will require 4489 times as much paint as the scale model.

Solve the Problem. -Suppose You Build an Architectural Model of a New Office