Suppose that a 1-mm cube is manipulated to become a 3-mm cube.Which statement about the surface area-to-volume ratio is correct?
A) The 3-mm cube has a higher ratio than the 1-mm cube had.
B) The ratio decreased as the cube became smaller.
C) The increase in the cube's volume tripled the ratio.
D) The ratio decreased as the cube became larger.
E) The ratio did not change.

Question

Quizplus · Accepted Answer

As the cube becomes larger, the surface area-to-volume ratio decreases. This is because the volume increases at a faster rate than the surface area. Therefore, the 3-mm cube has a lower ratio than the 1-mm cube had.

Suppose That a 1-Mm Cube Is Manipulated to Become a 3-Mm