Tripling the linear size of an object multiplies its area by
A)3 and its volume by 9.
B)9 and its volume by 18.
C)9 and its volume by 27.
D)27 and its volume by 81.
E)none of these

Question

Quizplus · Accepted Answer

Since the linear size is tripled, the area will be multiplied by 3^2 = 9, because the area is proportional to the square of the linear dimension. Similarly, the volume is proportional to the cube of the linear dimension, so tripling the linear size multiplies the volume by 3^3 = 27. Therefore, option C is correct, which states that the area is multiplied by 9, and its volume is multiplied by 27.

Tripling the Linear Size of an Object Multiplies Its Area