Question
Find the diagonal $ d $ of a cuboid if length $l = 20\, \text{ft}$, width $w = 29\, \text{ft}$ and height $h = 29\, \text{ft}$.
Answer
$\sqrt{ 2082 }\, \text{ft}$
Explanation
To find diagonal $ d $ use formula:
$$ d^2 = l^2 + w^2 + h^2 $$After substituting $l = 20\, \text{ft}$, $w = 29\, \text{ft}$ and $h = 29\, \text{ft}$ we have:
$$ d^2 = 20\, \text{ft}^2 + 29\, \text{ft}^2 + 29\, \text{ft}^2 $$$$ d^2 = 400\, \text{ft}^2 + 841\, \text{ft}^2 + 841\, \text{ft}^2 $$$$ d^2 = 2082\, \text{ft}^2 $$ $$ d = \sqrt{ 2082\, \text{ft}^2 } $$$$ d = \sqrt{ 2082 }\, \text{ft} $$This page was created using
Cuboid Calculator