Geometry

Question Analysis
This question focuses on calculating the surface areas of two cubes and then finding their ratio.
The main focus is on understanding the formula for the surface area of a cube and how changes in edge length affect the surface area in the context of similarity.

Key Concept Explanation
The surface area of a cube with edge length  is given by .
When comparing two similar cubes (all cubes are similar), the ratio of their surface areas can be found by substituting the edge lengths into the surface area formula and then simplifying the ratio.
Or if two 3D figures are similar:


Step - by - Step Solution
For the small cube with cm, the surface area square cm.
For the large cube with

Click "Show Answer" to reveal the answer and analysis