Question

Surface Area to Volume Ratio
The surface area to volume ratio of a cube with side 1 unit (R) and a cube with side 10 units (R) is:
(A) R = 1/100 R
(B) R = 1/50 R
(C) R = 1/10 R
(D) R = R
Choose the correct answer from the options given below:

• A. (A), (B), (D).
• B. (A), (B), (C), (D).
• C. (C).
• D. (A), (B), (C).

Hint:

Smaller objects have a higher surface area-to-volume ratio, enhancing their reactivity and utility in catalysis and coatings.

Answer 1

The Correct Option is C

- Surface area to volume ratio decreases as size increases, making nanomaterials highly reactive due to high ratios.
- For side length increase from 1 unit to 10 units, the ratio change corresponds to the cube of the size.