A painter needed 3 days to paint a room.
He painted the four walls and the ceiling.
Working at the same rate, how long would it take him to
paint a room twice
as long, twice as wide, and twice as high?
Solution to the Problem:
It would take 12 days.
Let x and y represent the length and width of the original room and let
z represent the height.
The surface area of the original room would be given by:
A = 2xz + 2yx + xy.
The surface area of the larger room would be given by:
A = 8xz + 8yx + 4xy, which is four times as large
as the original.
Correctly solved by:
1. Jeffrey Gaither | Winchester, Virginia |
2. Xiao Ma | Columbus, Georgia |
3. John C. Funk | Ventura, California |
4. Kathleen Altemose | Winchester, Virginia |
5. Elizabeth Harp | Columbus, Georgia |
6. Daniel Wilberger | Winchester, Virginia |
7. Walt Arrison | Philadelphia, Pennsylvania |
8. Gusti Oggenfuss | Montet (Broye), Switzerland |
9. David and Judy Dixon | Bennettsville, South Carolina |
10. Ashley Neumann | Winchester, Virginia |
11. George Gaither | Winchester, Virginia |
12. Natalie Frisén Lotta Österberg |
Örebro, Tullängskolan, Sweden |
13. Lina Öijerholm Tove Westlund |
Örebro, Tullängskolan, Sweden |
14. Jimmy Careliussèn | Örebro, Tullängskolan, Sweden |
15. Jan-Erik Kylänpää | Örebro, Tullängskolan, Sweden |
16. Fredrik Simón | Tullängen Örebro, Sweden |
17. Daniel Carlén | Tullängskolan, Sweden |
18. James Alarie | Univesity of Michigan -- Flint Flint, Michigan |
19. Matt Stillwagon | Winchester, Virginia |
20. Keith Mealy | Cincinnati, Ohio |
21. Peggah Sadeghzadeh | Winchester, Virginia |
22. Rich Murray | Ridgetown, Ontario, Canada |