SOLUTION: Find the height of a rectangular prism with 6 × 6-meter base and a 9-meter diagonal.

Algebra ->  Circles -> SOLUTION: Find the height of a rectangular prism with 6 × 6-meter base and a 9-meter diagonal.      Log On


   

Question 1180553: Find the height of a rectangular prism with 6 × 6-meter base and a 9-meter diagonal.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

use the diagonal formula of a rectangular prism
diagonal d=+sqrt%28a%5E2+%2B+h%5E2+%2B+b%5E2%29
if a=b=6 and d=9, we have
9=+sqrt%286%5E2+%2B+h%5E2+%2B+6%5E2%29
9=+sqrt%28+h%5E2+%2B+72%29..........square both sides
81=+h%5E2+%2B+72
81-72=+h%5E2+
9=+h%5E2+
h=sqrt%289%29
h=3m