SOLUTION: You build a box that is 4 feet long, 5 feet wide, and 8 feet high. The distance from the top left front corner to the top right back corner is ____ feet. The distance from the b

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: You build a box that is 4 feet long, 5 feet wide, and 8 feet high. The distance from the top left front corner to the top right back corner is ____ feet. The distance from the b      Log On

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Question 313514: You build a box that is 4 feet long, 5 feet wide, and 8 feet high. The distance from the top left front corner to the top right back corner is ____ feet.
The distance from the bottom left front corner to the top right back corner is _____ feet.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
the base is 4 feet by 5 feet.
the diagonal of the base has to be worked out.
using pythagoras theorem
4^2+5^2= diagonal ^
25+16=diagonal^2
sqrt39 = diagonal
..
the base diagonal, The distance from the bottom left front corner to the top right back corner, and the height form a right triangle.
sqrt((sqrt39)^2+8^2))= the required length
sqrt(39+64)
= sqrt (103)
=10.15 feet both will be same