How does the surface area-to-volume ratio of a 1-mm cube compare to the surface area-to-volume ratio of a 3-mm cube?
A) The 3-mm cube has a higher ratio.
B) The ratio increases as the cube becomes larger.
C) Increasing the volume increases the ratio.
D) The ratio decreases as the cube becomes larger.
E) The ratio does not change.

Question

Quizplus · Accepted Answer

As the cube becomes larger, its volume increases at a faster rate than its surface area. This means that the surface area-to-volume ratio decreases as the cube becomes larger. Therefore, the 1-mm cube has a higher surface area-to-volume ratio than the 3-mm cube.

How Does the Surface Area-To-Volume Ratio of a 1-Mm Cube