Cube Cut Surface Increase

We cut the cube with two mutually perpendicular cuts, each parallel to one of the cube's walls. By what percentage is the sum of the surfaces of all cuboids created in this way greater than the surface of the original cube?

Final Answer:

p =  66.6667 %

Step-by-step explanation:

S2 = 6 S1 S3 = 2 S1 + 2 S1 = 10   S1 p = (S2S3  1)   100 p=(6101) 100=66.6667%



Help us improve! If you spot a mistake, please let let us know. Thank you!







You need to know the following knowledge to solve this word math problem:

solid geometryplanimetrybasic operations and conceptsthemes, topicsGrade of the word problem

 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: