Question

Jayne stacked 2 cubes on top of each other as shown. The edge length of the smaller cube is half the edge length of the cube below it. What is the surface area of the new figure?

Answer 1

Let's denote the edge length of the smaller cube as x. Therefore, the edge length of the cube below it is 2x.

Surface area of the smaller cube = 6x^2
Surface area of the cube below it = 6(2x)^2 = 24x^2

Total surface area = Surface area of smaller cube + Surface area of cube below it
Total surface area = 6x^2 + 24x^2
Total surface area = 30x^2

Therefore, the surface area of the new figure is 30x^2.