Chapter 9.8, Problem 2PSA

To determine

To calculate: The Length of diagonal of rectangular solid.

Answer to Problem 2PSA

Length of diagonal is $5\sqrt{2}$ units.

Explanation of Solution

Given information:

Here, we have given a rectangular solid (cuboid) with dimensions $3$ , $4$ and $5$

Formula used: Diagonal of cuboid = $\sqrt{l^2 +b^2 +h^2}$

Calculation: Diagonal of cuboid = $\sqrt{l^2 +b^2 +h^2}$

  $\begin{array}{l}\Rightarrow \sqrt{{(3)}^2 +{\text{ (4)}}^2 +{(5)}^2}\\ \Rightarrow \sqrt{9+\text{ 16} +25}\\ \Rightarrow \sqrt{50}\\ \Rightarrow 5\sqrt{2}\end{array}$