All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Phibobrick's dimensions (Posted on 2016-10-14) Difficulty: 3 of 5
Imagine a brick with sides of lengths 1, Phi=1·61803... and phi=1/Phi=0·61803.

Clearly, the longest side is the sum of the other two lengths since 1 + phi = Phi

i. Show that the largest face (area C=1 x Phi) is the sum of the other two face's areas (area A =1 x phi and area B=phi x Phi) ?
ii. Evaluate the surface area S of the brick.
iii. Find the diagonal across the brick.
iv. What is the ratio of the surface areas of the "Phi-bonacci brick" and its surrounding sphere?

No Solution Yet Submitted by Ady TZIDON    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionproposed solution Charlie2016-10-14 11:45:47
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (12)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information