Question

If there is an error of \( m% \) in measuring the edge of a cube, then the percent error in estimating its surface area is

• A. 2m
• B. 3m
• C. 4m
• D. 5m

Hint:

For geometric shapes like cubes, errors in measurements affect surface area and volume with powers of the original error (square for area, cube for volume).

Answer 1

The Correct Option is C

The surface area of a cube is proportional to the square of the edge length. Thus, a small error in measuring the edge will result in a larger error in the surface area, specifically 4 times the edge error.