Find the similarity ratio of a cube with a surface area of 36 m2 to a cube with a surface area of 81 m2.

Answer 1

To find the similarity ratio between two cubes, we can use the formula:

Similarity ratio = sqrt(surface area of smaller cube / surface area of larger cube)

Given that the surface area of the smaller cube is 36 m^2 and the surface area of the larger cube is 81 m^2, the similarity ratio can be calculated as:

Similarity ratio = sqrt(36 / 81) = sqrt(0.444) ≈ 0.6667

Therefore, the similarity ratio of a cube with a surface area of 36 m^2 to a cube with a surface area of 81 m^2 is approximately 0.6667.