SOLUTION: Find the perimeter of each figure. The M.T. Container Manufacturing Company is planning to make a new box 3 in. high and a 10 in. long. If the M.T. box measures 14 in. diagonal

Algebra ->  Radicals -> SOLUTION: Find the perimeter of each figure. The M.T. Container Manufacturing Company is planning to make a new box 3 in. high and a 10 in. long. If the M.T. box measures 14 in. diagonal      Log On


   



Question 1025597: Find the perimeter of each figure.
The M.T. Container Manufacturing Company is planning to make a new box 3 in. high and a 10 in. long. If the M.T. box measures 14 in. diagonally across the bottom, what is the width od the box?

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonal across base is 14
height = 3
The diagonal from the top to the base across =3^2+14^2 = sqrt(205)
For a cuboid diagonal = sqrt%28l%5E2%2Bb%5E2%2Bh%5E2%29

sqrt%28205%29 = sqrt%2810%5E2%2B3%5E2%2Bw%5E2%29
205 = 100+9+w^2
205-100-9 = w^2
96=w^2
w= 4sqrt(6)