SOLUTION: a cuboid has dimensions of 10cm, 15cm, and 22,cm and one vertex is at its origin. Find the length of the diagonal of the cuboid

Algebra ->  Pythagorean-theorem -> SOLUTION: a cuboid has dimensions of 10cm, 15cm, and 22,cm and one vertex is at its origin. Find the length of the diagonal of the cuboid      Log On


   



Question 718432: a cuboid has dimensions of 10cm, 15cm, and 22,cm and one vertex is at its origin.
Find the length of the diagonal of the cuboid

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a cuboid has dimensions of 10cm, 15cm, and 22,cm and one vertex is at its origin.
Find the length of the diagonal of the cuboid
-----
base diagonal = sqrt(10^2+15^2) = sqrt(325)
------
cuboid diagonal = sqrt[(sqrt(325))^2 + 22^2]
----
= sqrt[325 + 484]
----
= sqrt[809]
----
= 28.44 cm
================
Cheers,
Stan H.
==================