Which of the following cube-shaped objects would have the highest surface-area-to-volume ratio? A cell with a volume of

Question

Quizplus · Accepted Answer

The surface-area-to-volume ratio for a cube is given by the formula $ \frac{6}{a} $, where $ a $ is the length of a side. Smaller cubes have a higher surface-area-to-volume ratio because as the cube's dimensions decrease, its volume decreases faster than its surface area. A cube with a volume of $1 cm^3$ has the smallest dimensions, thus the highest surface-area-to-volume ratio.

Which of the Following Cube-Shaped Objects Would Have the Highest