Percent increase in cube surface area when side doubles: When each edge of a cube is doubled, by what percentage does its total surface area increase?

Introduction / Context:Surface area of a cube scales with the square of its edge. Doubling the edge multiplies surface area by 4, leading to a specific percentage increase. This is a scaling/ratio question.

Given Data / Assumptions:

• Original edge a, SA1 = 6a^2
• New edge 2a, SA2 = 6*(2a)^2 = 24a^2

Concept / Approach:

• Percent increase = ((SA2 − SA1) / SA1) * 100%.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

• 150%/50%/25%: These correspond to edge, area, or linear misinterpretations.

Common Pitfalls:

• Assuming surface area doubles when edge doubles (it quadruples).

Final Answer:

300%